Prediction of heterosis and other traits by transcriptome analysis

ABSTRACT

Transcriptome-based prediction of heterosis or hybrid vigour and other complex phenotypic traits. Analysis of transcript abundance in predictive gene sets, for predicting magnitude of heterosis or other complex traits in plants and animals. Transcriptome-based screening and selection of individuals with desired traits and/or good hybrid vigour.

This invention relates to methods of producing hybrid plants and hybrid non-human animals having high levels of hybrid vigour or heterosis and/or producing plants and non-human animals (e.g. hybrid, inbred or recombinant plants) having other traits such as desired flowering time, seed oil content and/or seed fatty acid ratios, and plants and non-human animals produced by these methods.

The invention relates to selection of suitable organisms, preferably plants or non-human animals, for use in producing hybrids and/or for use in breeding programmes, e.g. screening of germplasm collections for plants that may be suitable for inclusion in breeding programmes.

Many animal and plant species exhibit increased growth rates, reach larger sizes and, in the cases of crops [1,2] and farm animals [3,4], have higher yields and productivity when bred as hybrids, produced by crossing genetically dissimilar parents, a phenomenon known as hybrid vigour or heterosis [5]. The term heterosis can be applied to almost any aspect of biology in which a hybrid can be described as outperforming its parents.

The degree of heterosis observed varies a lot between different hybrids. The magnitude of heterosis can be described relative to the mean value of the parents (Mid-Parent Heterosis, MPH) or relative to the “better” of the parents (Best-Parent Heterosis, BPH).

Heterosis is of great importance in many agricultural crops and in plant and animal breeding, where it is clearly desirable to produce hybrids with high levels of heterosis. However, despite extensive genetic analysis in this area, the molecular mechanisms underlying heterosis remain poorly understood. Some progress has been made towards understanding the heterosis observed in simple traits controlled by single genes [6], but the mechanisms controlling more complex forms of heterosis, such as the vegetative vigour of hybrids, remain unknown [7, 8, 9].

Genetic analyses of heterosis have led to three, non-exclusive, genetic mechanisms being hypothesised to explain heterosis:

the “dominance” model, in which heterotic interactions are considered to be the cumulative effect of the phenotypic expression of dispersed dominant alleles, whereby deleterious alleles that are homozygous in the respective parents are complemented in the hybrids [2, 10];

the “overdominance” model, in which heterotic interactions are considered to be the result of heterozygous loci resulting in a phenotypic expression in excess of either parent, so that the heterozygosity per se produces heterosis [5, 11, 12];

the “epistatic” model, which includes other types of specific interactions between combinations of alleles at separate loci [13, 14].

Hypothetical models based on gene regulatory networks have been proposed to explain these types of interaction [15].

Whilst the hypothesised models attempt to explain in genetic terms at least a proportion of heterosis observed in hybrids, they do not provide a practical indicator that would enable breeders to predict quantitatively the level of heterosis for a given hybrid or to know which hybrid crosses are likely to perform well.

In allogamous crops, such as maize, heterotic groups have been established that enable the selection of inbreds that will show good heterosis when crossed. For example, Iowa Stiff Stalk vs. Non-Stiff Stalk lines [16]. Inter-group hybrids have greater genetic distance and heterosis than hybrids produced by crossing within an individual heterotic group [17] and it has been proposed that the level of genetic diversity may be a predictor of heterosis and yield [18]. However, this has not proven to be a reliable approach for the prediction of heterosis in crops [17]. Heterosis shows an inconsistent relationship with the degree of relatedness of the two parents, with an absence of correlation reported between heterosis and genetic distance in Arabidopsis thaliana [7, 19] and other species [20, 21, 22]. Thus, in general the level of heterosis observed in a hybrid does not depend solely upon the genetic distance between the two parents from which the hybrid was produced, nor does this variable, genetic distance, necessarily provide a good indicator of likely heterosis of hybrids.

At the gene transcript level, expression of alleles in a hybrid may represent the cumulative level of expression of the alleles inherited from each parent, or expression may be non-additive. Non-additive patterns of gene expression are believed to contribute to hybrid effects and therefore several studies have investigated non-additive gene expression in hybrids compared with their parents. Characteristics of the transcriptome (the contribution to the mRNA pool of each gene in the genome) have been analysed in heterotic hybrids of crop plants, and extensive differences in gene expression in the hybrids relative to the parents have been reported [23, 24, 25, 26, 27]. Hybrid transcriptomes were shown to be different from the transcriptomes of the parents. Quantitative changes were seen in the contribution to the mRNA pool of a subset of genes, when the transcriptomes of the hybrids were compared with the transcriptomes of their parents. These experiments were conducted with the expectation that differences in the transcriptomes of the hybrids, compared with their parents, contribute to the basis of heterosis.

Using differential display, Sun et al [24] identified differences in gene expression, of approximately 965 genes, between wheat seedling hybrids and their parents. The hybrids were generated from two single direction crosses, and represented one heterotic and one non-heterotic sample. Differences in gene expression were found between the hybrids and the parents, with some evidence provided of differences in response between the hybrids. In later experiments, Sun et al [28] used differential display techniques to identify changes in transcriptional remodelling for 2800 genes, between nine parental and 20 wheat hybrids. They found that around 30% of these genes showed some degree of remodelling. Broad trends in gene expression were assessed by random amplification. Gene expression differences were observed between the hybrid and both parents, between the hybrid and one parent only, and genes expressed only in the hybrid. The total number of non-additively expressed genes was found to correlate with some traits. The authors concluded that these differences in gene expression must be involved in developing a heterotic phenotype.

Guo et al. [29] reported allele-specific variation in transcript abundance in hybrids. Transcript abundance of 15 genes was analysed in maize hybrids, and transcript levels for the two alleles of each gene were compared. In 11 genes, the two alleles were found to be expressed unequally (bi-allelic expression), and in 4 genes just one allele was expressed (mono-allelic expression). Allele-specific differences in expression were observed between genetically different hybrids. Additionally, the two alleles in each hybrid were shown to respond differently to abiotic stress. Allele-specific differences may indicate different functions for the two parental alleles in hybrids, and this functional diversity of the two parental alleles in the hybrid was suggested to have an impact on heterosis.

Auger et al. [27] examined differences in transcript abundance between hybrids relative to their inbred parents. Several genes were found to be expressed at non-additive levels in the hybrids, but relevance to heterosis was not demonstrated.

Vuylsteke et al. [30] measured variations in transcript abundance between three inbred lines and two pairs of reciprocal F₁ hybrids of Arabidopsis. Non-additive levels of gene expression in the hybrids were used to estimate the proportion of genes expressed in a “dominance” fashion according to a genetic model of heterosis.

Microarray technology has also been used to study differences in transcript abundance across plant populations. For example, Kliebenstein et al. [31] used microarrays to quantify gene expression in seven Arabidopsis accessions, and found an average of 2234 genes to be significantly differentially expressed between any pair of accessions. The differences in gene expression were found to be related to sequence diversity in the accessions. Kirst et al. [32] examined transcript abundance in a pseudobackcross population of eucalyptus in order to compare transcript regulation in different genetic backgrounds of eucalyptus, and concluded that the genetic control of transcript levels was modulated by variation at different regulatory loci in different genetic backgrounds. Paux et al. [33] also conducted transcript profiling of eucalyptus genes, to examine gene expression during tension wood formation.

Another mechanism that has been proposed to explain heterosis is complementation of bottlenecks in metabolic systems [34]. It is possible that several different mechanisms are involved in heterosis, so that any one specific mechanism may only explain a proportion of heterosis observed.

Heterosis has been the subject of intense genetic analysis for almost a century, but no reliable and accurate basis for determining, predicting or influencing the degree of heterosis in a given hybrid has yet been identified. Thus, there has been a long-felt need to identify some basis on which parents may be selected in order to produce hybrids of increased vigour.

Attempts to produce hybrids with high levels of heterosis must currently be undertaken on the basis of trial and error, by experimentally crossing different parents and then waiting for the progeny to grow until it can be seen which of the new hybrids exhibit the most vigour. Breeding for new heterotic hybrids thus necessarily results in the co-production of significant numbers of under-performing hybrids with low hybrid vigour. The desired hybrids may not be obtained, or may only represent a fraction of the total number of hybrids produced overall. Additionally, hybrids must normally reach a certain age before their level of heterosis can be determined, which increases still further the time, cost and resources that must be invested in a breeding program, since it is necessary to continue to grow large numbers of hybrids even though many, or perhaps all, will not have the desired characteristics.

A method that could provide at least some measure of prediction of the level of heterosis likely to be exhibited by a given hybrid could result in significantly more effective breeding programs.

There are comparable needs to determine a basis on which plants or animals may be selected as parents for producing hybrids with further desirable multigenic traits, and for predicting which hybrid, inbred or recombinant plants or animals are likely to exhibit desired traits.

The invention disclosed herein is based on the unexpected finding that transcript abundance of certain genes is predictive of the degree of heterosis in a hybrid. Transcriptome analysis may be used to identify genes whose transcript abundance in hybrids correlates with heterosis. The abundance of those gene transcripts in a new hybrid can then be used to predict the degree of heterosis of the new hybrid. Moreover, transcriptome analysis may be used to identify genes whose transcript abundance in plants or animals correlates with heterosis in hybrids produced by crossing those plants or animals. Thus, transcriptome data from parents can be used to predict the magnitude of heterosis in hybrids which have yet to be produced.

We show herein that changes in transcript abundance in the transcriptome represent the majority of the basis of heterosis. Importantly, this means that predictions based on transcript abundance are close to the observed magnitude of heterosis, i.e. the invention allows quantitative prediction of the degree of heterosis in a hybrid. Transcriptome characteristics alone may thus be used to predict heterosis in hybrids and as a basis for selection of parents.

Thus, remarkably, we have solved a problem that has been unanswered for almost a century. By demonstrating that the basis of heterosis resides primarily at the level of the regulation of transcript abundance, we have provided a means of predicting heterosis in hybrids and thus selecting which hybrids to maintain. Furthermore, we were able to identify characteristics of parental transcriptomes that could be used successfully as markers to predict the magnitude of heterosis in untested hybrids, and we have thus also provided basis for identifying parents which can be crossed to produce heterotic hybrids.

This invention differs from previous studies involving transcriptome analysis of hybrids, since those earlier studies did not identify any relationship between the transcriptomes of hybrids and the degree of heterosis observed in those hybrids. As discussed above, earlier studies showed that transcript levels of some genes differ in hybrids compared with the parents from which those hybrids were derived, and differences between hybrid and parent transcriptome were suggested to contribute to phenotypic differences including heterosis. However, the previous investigators did not compare transcriptome remodelling in a range of non-heterotic hybrids and heterotic hybrids, and did not show whether transcriptome remodelling correlates with heterosis.

We have recognised that most differences in the hybrid transcriptome are due to hybrid formation, not heterosis. We found that, in fact, transcriptome remodelling involving transcript abundance fold-changes of 2 or more occurs to a similar extent in all hybrids relative to their parents, regardless of the degree of heterosis observed in the hybrids. Accordingly, the overall degree of transcriptome remodelling in a hybrid is not an indicator of the degree of heterosis in that hybrid.

Therefore, earlier studies involving limited numbers of hybrids were not able to identify genes whose transcript abundance correlated with heterosis. The vast majority of differences in transcript abundance observed in earlier studies would have been due only to hybrid formation itself, and would not show any correlation with heterosis. Nor was any such correlation even looked for in the prior art, since it was not recognised that a correlation might exist.

However, despite showing that the overall degree of transcriptome remodelling in a hybrid is not related to heterosis, we found that transcriptome analysis can nevertheless be used to reveal features of the hybrid transcriptome that are predictive of the degree of heterosis in a hybrid. Through transcriptome analysis of a wide range of hybrids we have unexpectedly shown that transcript abundance of a proportion of genes correlates with heterosis. As described herein, we studied 13 different heterotic hybrids of Arabidopsis thaliana, and identified features of the hybrid transcriptome that are characteristic of heterotic interactions. We identified 70 genes whose transcript abundance in the hybrid transcriptome correlated with the degree of heterosis in the Arabidopsis hybrids. We then successfully used the transcript abundance of that defined set of 70 genes to quantitatively predict the magnitude of heterosis observed in 3 untested hybrid combinations. Transcript abundance of two additional genes, At1g67500 and At5g45500, was also shown to have a significant negative correlation with heterosis. Transcript abundance of each of these genes successfully predicted heterosis in further hybrids.

Further, we identified a larger set of genes whose transcript abundance in the transcriptome of Arabidopsis inbred lines correlated with the degree of heterosis in hybrid progeny produced by crossing those lines. We successfully used the transcript abundance of that set of genes to quantitatively predict the magnitude of heterosis in 3 hybrids produced from those lines. Transcript abundance of At3g11220 was found to be negatively correlated with heterosis in a highly significant manner and transcript abundance of this gene in the parental transcriptome was found to be predictive of heterosis in hybrid offspring.

Heterosis in hybrids of Arabidopsis thaliana may be predicted on the basis of the transcript abundance of these identified Arabidopsis genes. Moreover, since heterosis is a widely observed phenomenon, and is not restricted to Arabidopsis or even to plants, but is also observed in animals, it is to be expected that many of the same genes whose transcript abundance correlates with heterosis in Arabidopsis will also correlate with heterosis in other organisms. Transcript abundance of orthologues of those genes in other species may thus correlate with heterosis.

However, prediction of heterosis need not be based on genes selected from the sets of genes disclosed herein, since one aspect of the invention is use of transcriptome analysis to identify the particular genes whose transcript abundance correlates with heterosis in any population of hybrids that is of interest. Once identified, those genes may then be used for prediction of heterosis or other trait in the particular hybrids of interest. Whilst the identified genes may include at least some genes, or orthologues thereof, from the set of genes identified in Arabidopsis, they need not do so.

The invention enables hybrids likely to exhibit high levels of heterosis to be identified and selected, while hybrids likely to exhibit lower degrees of heterosis may be discarded. Notably, the invention may be used to predict the level of heterosis in a hybrid at an early stage in the life of the hybrid, for example in a seedling, before it would be possible to directly observe differences between heterotic and non-heterotic hybrids. Thus, the invention may be used in a hybrid whose degree of heterosis is not yet determinable from its phenotype. The invention thus provides significant benefits to a breeder, since it allows a breeder to determine which particular hybrids in a potentially vast array of different hybrids should be retained and grown. For example, a breeder may use transcript abundance data from seedlings to decide which plant hybrids to grow or test in yield/performance trials.

Furthermore, we have shown that regulation of transcript abundance underlies not only heterosis but also other traits. These may include all genetically complex traits in hybrid, inbred or recombinant plants and animals, e.g. flowering time or seed composition in plants. Accordingly, the invention also relates to determining features of plant or non-human animal transcriptomes (e.g. transcriptomes of hybrids and/or inbred or recombinant plants or animals) for prediction of other traits in the plant or animal or offspring thereof. Where the invention relates to traits other than heterosis, the plant or animal may be a hybrid or alternatively it may be inbred or recombinant. Examples of traits that may be predicted using the invention are yield, flowering time, seed oil content and seed fatty acid ratios in plants, especially plant hybrids, e.g. accessions of A. thaliana. These and other traits may also be predicted in the plant or non-human animal (e.g. hybrid, inbred or recombinant plant or animal) before those traits are manifested in the phenotype. Thus, for example, we demonstrate herein that the invention allows seed oil content of inbred plants to be accurately predicted by analysis of plants that have not yet flowered. The invention thus confers significant predictive, cost and workload reductive advantages, particularly for traits manifested at a relatively late stage, since it means that it is not necessary to wait until a plant or animal reaches a particular (often late) stage of development before being able to know the magnitude or properties of the trait that will be exhibited by a given plant or animal.

Other aspects of the invention allow prediction of traits in plants or animals based on characteristics of their parents, and thus traits of plants or animals may be predicted and selected for even before those plants or animals are produced. As noted above, the trait may be heterosis in a plant or animal hybrid. Therefore, in accordance with the invention, features of plant or animal transcriptomes may be identified that allow the degree of heterosis of plants or animals produced by crossing those plants or animals to be predicted. The invention can be used to predict one or more traits, such as the degree of heterosis observed in plants or animals produced by crossing different combinations of parental germplasms. This is potentially as valuable or even more valuable than being able to predict heterosis and other traits in plants and animals that have already been produced, since it avoids producing under-performing plants or animals and therefore allows significant savings in logistics, costs and time. Particular plants or animals may thus be selected for breeding, with an increased chance that their progeny will be heterotic hybrids, or possess other traits, compared with if the parents were selected at random. Thus, the methods of the invention allow prediction in terms of the level of heterosis or of other traits produced by any particular cross between different parents, and allow particular parents to be selected accordingly. For example in agricultural crop plant breeding the invention reduces the need to make large numbers of different crosses in order to obtain new heterotic hybrids, since the invention can be used to identify in advance which particular crosses will be most productive.

Remarkably, methods of the invention may be used to predict traits based on transcript abundance in tissues in which the trait is not exhibited or which have no apparent relevance to the trait. For example, traits such as flowering time or seed composition may be predicted in plants based on transcript abundance data from non-flowering tissue, such as leaf tissue. Thus, the invention allows generation of statistical correlations between one or more traits and abundance of one or more gene transcripts. There is no requirement for the tissue sampled for transcriptome analysis to be the same as that used for trait measurement. It may be preferable that the tissue sampled for transcriptome analysis is, in terms of evolution, be a more ancient origin—hence the transcriptome in leaves can be used to predict more recently evolved characteristics of plants, such as flowering time or seed composition.

Based on the extensive transcriptome remodelling in hybrids of Arabidopsis thaliana disclosed herein, including some combinations that are heterotic for vegetative biomass and some combinations that are non-heterotic, it is evident that the methods of the invention may be applied to advantage in crops of economic importance.

Maize is currently bred as a hybrid crop, with its cultivation in the UK being for silage from the whole plant. Biomass yield is therefore paramount, and heterosis underpins this yield. In the USA maize is primarily grown for corn production, for which kernel weight represents the productive yield, and this yield is also dependent on heterosis. The ability to efficiently select for hybrid performance at an early stage of the hybrid parent breeding process provided by the method of this invention greatly accelerates the development of hybrid plant lines to increase yields and introduce a range of “sustainability” traits from exotic germplasm without loss of yield. Oilseed rape hybrids hold much potential, but their exploitation is limited as heterosis is often restricted to vegetative vigour, with little improvement in seed dry weight yield. The ability to select for specific performance traits at early stages of growth similarly accelerates the development of more productive and sustainable varieties. There is great potential for hybrid breeding of bread wheat (already a hexaploid, so benefits from some “fixed” heterosis) which, like oilseed rape, is supported by a breeding community based in the UK. In addition, hybrid varieties are important for a large number of vegetable species cultivated in the UK (such as cabbages, onions, carrots, peppers, tomatoes, melons), which are grown for enhancement of crop uniformity, appearance and general quality. Use of the invention to define a predictive marker for heterosis and other performance traits thus has the potential to revolutionise both the breeding process and the performance of crops for the farmer.

As demonstrated in the Examples, we identified relationships between gene expression in glasshouse-grown seedlings of maize inbreds and phenotypes (grain yield) in related plants at a later developmental stage and after growth under different environmental conditions.

In summary, the invention involves use of transcriptome analysis of plants or animals, e.g. hybrids and/or inbred or recombinant plants or animals, for:

(i) identifying genes involved in the manifestation of heterosis and other traits; and/or (ii) predicting and producing plants or animals of improved heterosis and other traits by selecting plants or animals for breeding, wherein the plants or animals which exhibit enhanced transcriptome characteristics with respect to a selected set of genes relevant to the transcriptional regulatory networks present in potential parental breeding partners; and/or (iii) predicting a range of trait characteristics for plants and animals based on transcriptome characteristics.

The invention also relates to plant and animal hybrids of improved heterosis, and to hybrids, inbreds or recombinants with improved traits as produced or predicted by the methods of the invention.

The results disclosed herein provide evidence for a link between heterosis and growth repression that is a consequence of stress tolerance mechanisms. We identified a number of genes which are highly predictive of heterosis, and which showed a significant negative correlation between gene expression and heterotic performance. As discussed in the Examples herein, these genes may represent key genetic loci that are downregulated in heterotic hybrids, leading to decreased expression of stress-avoidance genes and thus allowing better hybrid performance under favourable conditions. This raises the possibility that heterosis, at least for vegetative biomass, is at least partly a consequence of genetic interactions that lead to a reduction in repression of growth, rather than direct promotion of growth. However, whatever the molecular mechanism underlying heterosis, we have established that certain genes and sets of genes predictive of heterosis may be identified and successfully used in accordance with the present invention for predicting heterosis.

A hybrid is offspring of two parents of differing genetic composition. Thus, a hybrid is a cross between two differing parental germplasms. The parents may be plants or animals. A hybrid is typically produced by crossing a maternal parent with a different paternal parent. In plants, the maternal parent is usually, though not necessarily, impaired in male fertility and the paternal parent is a male fertile pollen donor. Parents may for example be inbred or recombinant.

An inbred plant or animal typically lacks heterozygosity. Inbred plants may be produced by recurrent self-pollination. Inbred animals may be produced by breeding between animals of closely related pedigree.

Recombinant plants or animals are neither hybrid nor inbred. Recombinants are themselves derived by the crossing of genetically dissimilar progenitors and may contain extensive heterozygosity and novel combinations of alleles. Most samples in germplasm collections of plant breeding programmes are recombinant.

The invention may be used with plants or animals. In some embodiments the invention preferably relates to plants. For example, the plants may be crop plants. The crop plants may be cotton, sugar beet, cereal plants (e.g. maize, wheat, barley, rice), oil-seed crops (e.g. soybeans, oilseed rape, sunflowers), fruit or vegetable crop plants (e.g. cabbages, onions, carrots, peppers, tomatoes, melons, legumes, leeks, brassicas e.g. broccoli) or salad crop plants e.g. lettuce [35]. The invention may be applied to hardwood timber trees or alder trees [36]. All species grown as crops could benefit from the invention, irrespective of whether they are currently cultivated extensively as hybrids.

Other embodiments relate to non-human animals e.g. mammals, birds and fish, including farm animals for example cattle, pigs, sheep, birds or poultry (e.g. chickens), goats, and farmed fish e.g. salmon, and other animals such as sports animals e.g. racehorses, racing pigeons, greyhounds or camels. Heterosis has been described in a variety of different animals including for example pigs [37], sheep [38, 39], goats [39], alpaca [39], Japanese quail [40] and salmon [41], and the invention may be applied to these and to other animals.

The invention can most conveniently be used in relation to organisms for which the genome sequence or extensive collections of Expressed Sequence Tags are available and in which microarrays are preferably also available and/or resources for transcriptome analysis have been developed.

In one aspect, the invention is a method comprising:

analysing the transcriptomes of plants or animals in a population of plants or animals;

measuring a trait of the plants or animals in the population; and

identifying a correlation between transcript abundance of one or more, preferably a set of, genes in the plant or animal transcriptomes and the trait in the plants or animals.

Thus the invention provides a method of identifying an indicator of a trait in a plant or animal.

The population may comprise e.g. at least 5, 10, 20, 30, 40, 50 or 100 plants or animals. Use of a large population to obtain trait measurements from many different plants or animals may allow increased accuracy of trait predictions based on correlations identified using the population.

The invention may thus be used to generate a model (e.g. a regression, as described in detail elsewhere herein) for predicting the trait based on transcript abundance of the one or more genes e.g. a set of genes.

One or more traits may be determined or measured, and thus correlations may be identified, and models may be generated, for a plurality of traits.

The plant or animal may be a hybrid, or it may be inbred or recombinant. In a preferred embodiment the plant or animal is a hybrid. A preferred trait is heterosis.

Plants or animals in a population may or may not be related to one another. The population may comprise plants or animals, e.g. hybrids, having different maternal and/or paternal parents. In some embodiments, all plants or animals, e.g. hybrids, in the population have the same maternal parent, but may have different paternal parents. In other embodiments, all plants or animals, e.g. hybrids, in the population have the same paternal parent, but may have different maternal parents. Parents may be inbred or recombinant, as explained elsewhere herein.

Methods for determining heterosis, for transcriptome analysis and for identifying statistical correlations are described in detail elsewhere herein.

Determining or measuring heterosis or other trait can be performed once the relevant phenotype is apparent e.g. once the heterosis can be calculated, or once the trait can be measured.

Transcriptome analysis may be performed at a time when the degree of heterosis or other trait of the plant or animal can be determined. Transcriptome analysis may be performed after, normally directly after, measurements are taken for determining or measuring heterosis or other trait in the plant or animal. This is suitable e.g. when measurements are taken for determining heterosis for fresh weight in hybrids.

However, we have demonstrated herein that it is possible to use transcriptome analysis of plants at a relatively early developmental stage, e.g. before flowering, to identify genes whose transcript abundance correlates with traits that only occur later in development, e.g. traits such as the time of flowering and aspects of the composition of seeds produced by plants. Accordingly, transcriptome analysis may be performed when the degree of heterosis or other trait is not yet determinable from the phenotype. This is suitable e.g. when measuring aspects of performance other than fresh weight, such as yield, for determining heterosis. For example, transcriptome analysis may be performed when plants are in vegetative phase or when animals are pre-adolescent, in order to predict heterosis for characteristics that are evident later in development, or to predict other traits that are evident later in development. For example, heterosis for seed or crop yields, or traits such as flowering time, seed or crop yields or seed composition, may be predicted using transcriptome data from vegetative phase plants.

Correlations between traits and transcript abundance represent models that may be used to predict traits in further plants or animals by determining transcript abundance in those plants or animals.

Thus, in another aspect, the invention is a method comprising:

determining transcript abundance of one or more, preferably a set of, genes in a plant or animal, wherein the transcript abundance of the one or more genes, or set of genes, in the transcriptome of the plant or animal correlates with a trait in the plant or animal; and

thereby predicting the trait in the plant or animal.

The analysis of transcript abundance is predictive of the trait in a plant or animal of the same genotype as the plant or animal in which transcript abundance was determined. Thus, in some embodiments the method may be used for the purpose of predicting a trait in the actual plant or animal whose transcript abundance is determined, and in other embodiments the method may be used for the purpose of predicting a trait in another plant or animal that is genetically identical to the plant or animal whose transcript abundance was sampled. For example the method may be used for predicting a trait in a genetically identical plant or animal that may be grown or produced subsequently, and indeed the decision whether to grow or produce the plant or animal may be informed by the trait prediction.

Methods of the invention may comprise determining transcript abundance of one or more genes, preferably a set of genes, in a plurality of plants or animals, and thus predicting one or more traits in the plurality of plants or animals. Thus, the invention may be used to predict a rank order for the trait in those plants or animals, which allows selection of plants or animals that are predicted to exhibit the highest or lowest trait (e.g. longest or shortest time to flowering, highest seed oil content, highest heterosis).

The plant or animal may be a hybrid, or it may be inbred or recombinant. In a preferred embodiment the plant or animal is a hybrid. A preferred trait is heterosis, and thus the method may be for predicting the magnitude of heterosis in a hybrid.

A method of the invention may comprise:

determining transcript abundance of one or more, preferably a set of, genes in a plant or animal, e.g. a hybrid, wherein transcript abundance of the one or more genes, or set of genes, correlates with a trait in a population of plants or animals, e.g. a population of hybrids; and

thereby predicting the trait in the plant or animal.

Plants or animals in the population may or may not be related to one another. The population typically comprises plants or animals, e.g. hybrids, having different maternal and/or paternal parents. In some embodiments, all plants or animals in the population have the same maternal parent, but may have different paternal parents. In other embodiments, all plants or animals in the population have the same paternal parent, but may have different maternal parents. Where plants or animals in the population share a common maternal parent or a common paternal parent, the plant or animal in which the trait is predicted may share the same common maternal or paternal parent, respectively.

The method may comprise, as an earlier step, a method of identifying an indicator of the trait in a plant or animal, as described above.

The plant or animal in which the indicator of the trait is identified may be the same genus and/or species as the plant or animal in which transcript abundance is determined for prediction of the trait. However, as discussed elsewhere herein, predictions of traits in one species may be performed based on correlations between transcript abundance and trait data obtained in other genus and/or species.

Thus, the invention may be used to predict one or more traits in a plant or animal, typically a previously untested plant or animal. As noted above, the method is useful for predicting heterosis or other trait in a plant or animal when heterosis or other trait is not yet determinable from the phenotype of the organism at the time, age or developmental stage at which the transcriptome is sampled. In a preferred embodiment the method comprises analysing the transcriptome of a plant prior to flowering.

Suitable methods of determining transcript abundance and of predicting heterosis or other traits based on transcript abundance are described in more detail elsewhere herein.

Once genes whose levels of transcript abundance are involved in heterosis or other traits have been identified for a given plant or animal species, further aspects of the invention may involve regulation of transcript abundance, regulation of expression of one or more of those genes, or regulation of one or more proteins encoded by those genes, in order to regulate, influence, increase or decrease heterosis or another trait in a plant or animal organism.

Thus, the invention may involve increasing or decreasing heterosis or other trait in an organism, by upregulating one or more genes or their encoded proteins, wherein transcript abundance of the one or more genes correlates positively with heterosis or other trait in the organism, or by down-regulating one or more genes or their encoded proteins in an organism, wherein transcript abundance of the one or more genes correlates negatively with heterosis or other trait in the organism. Thus, heterosis and other desirable traits in the organism may be increased using the invention. The invention also extends to plants and animals in which traits are up- or down-regulated using methods of the invention. The invention may comprise down-regulating one or more genes involved in stress avoidance or stress tolerance, wherein transcript abundance of the one or more genes is negatively correlated with heterosis, e.g. heterosis for biomass.

Examples of genes whose transcript abundance correlates positively with heterosis, and examples of genes whose transcript abundance correlates negatively with heterosis, are shown in Table 1 and Table 19. Additionally, transcript abundance of genes At1g67500 and At5g45500 correlates negatively with heterosis. In a preferred embodiment the one or more genes are selected from At1g67500 and At5g45500 and/or those shown in Table 1 and/or Table 19, or are orthologues of At1g67500 and/or At5g45500 and/or of one or more genes shown in Table 1 and/or Table 19.

The invention may involve increasing or decreasing a trait in an organism, by upregulating one or more genes whose transcript abundance correlates negatively with the trait in the organism, or by downregulating one or more genes whose transcript abundance correlates positively with the trait in hybrids. Thus, undesirable traits in organisms may be decreased using the invention.

Examples of genes whose transcript abundance correlates with particular traits are shown in Tables 3 to 17, Table 20 and Table 22. Preferred embodiments of the invention relate to one or more of those traits, and preferably to one or more of the listed genes for which transcript abundance is shown to correlate with those traits, as discussed elsewhere herein. Thus, the one or more genes may be selected from the genes shown in the relevant tables, or may be orthologues of those genes. For example, flowering time (e.g. as represented by leaf number at bolting) may be delayed (time to flowering increased, e.g. leaf number at bolting increased) by upregulating expression of one or more genes in Table 3A or Table 4A. Flowering time may be accelerated (time to flowering decreased, e.g. leaf number at bolting decreased) by downregulating expression of one or more genes in Table 3B or Table 4B.

A trait may be increased by upregulating a gene for which transcript abundance correlates positively with the trait or by downregulating a gene for which transcript abundance correlates negatively with the trait. A trait may be decreased by downregulating a gene for which transcript abundance correlates positively with the trait or by upregulating a gene for which transcript abundance correlates positively with the trait.

Upregulation of a gene involves increasing its level of transcription or expression, and thus increasing the transcript abundance of that gene. Upregulation of a gene may comprise expressing the gene from a strong and/or constitutive promoter such as 35S CaMV promoter. Upregulation may comprise increasing expression of an endogenous gene. Alternatively, upregulation may comprise expressing a heterologous gene in a plant or animal, e.g. from a strong and/or constitutive promoter. Heterologous genes may be introduced into plant or animal cells by any suitable method, and methods of transformation are well known in the art. A plant or animal cell may for example be transformed or transfected with an expression vector comprising the gene operably linked to a promoter e.g. a strong and/or constitutive promoter, for expression in the cell. The vector may integrate into the cell genome, or may remain extra-chromosomal.

By “promoter” is meant a sequence of nucleotides from which transcription may be initiated of DNA operably linked downstream (i.e. in the 3′ direction on the sense strand of double-stranded DNA).

“Operably linked” means joined as part of the same nucleic acid molecule, suitably positioned and oriented for transcription to be initiated from the promoter. DNA operably linked to a promoter is under transcriptional initiation regulation of the promoter.

Downregulation of a gene involves decreasing its level of transcription or expression, and thus decreasing the transcript abundance of that gene. Downregulation may be achieved for example by antisense or RNAi, using RNA complementary to messenger RNA (mRNA) transcribed from the gene.

Anti-sense oligonucleotides may be designed to hybridise to the complementary sequence of nucleic acid, pre-mRNA or mature mRNA, interfering with the production of polypeptide encoded by a given DNA sequence (e.g. either native polypeptide or a mutant form thereof), so that its expression is reduce or prevented altogether. Anti-sense techniques may be used to target a coding sequence, a control sequence of a gene, e.g. in the 5′ flanking sequence, whereby the antisense oligonucleotides can interfere with control sequences. Anti-sense oligonucleotides may be DNA or RNA and may be of around 14-23 nucleotides, particularly around 15-18 nucleotides, in length. The construction of antisense sequences and their use is described in refs. [42] and [43].

Small RNA molecules may be employed to regulate gene expression. These include targeted degradation of mRNAs by small interfering RNAs (siRNAs), post transcriptional gene silencing (PTGs), developmentally regulated sequence-specific translational repression of mRNA by micro-RNAs (miRNAs) and targeted transcriptional gene silencing.

A role for the RNAi machinery and small RNAs in targeting of heterochromatin complexes and epigenetic gene silencing at specific chromosomal loci has also been demonstrated. Double-stranded RNA (dsRNA)-dependent post transcriptional silencing, also known as RNA interference (RNAi), is a phenomenon in which dsRNA complexes can target specific genes of homology for silencing in a short period of time. It acts as a signal to promote degradation of mRNA with sequence identity. A 20-nt siRNA is generally long enough to induce gene-specific silencing, but short enough to evade host response. The decrease in expression of targeted gene products can be extensive with 90% silencing induced by a few molecules of siRNA.

In the art, these RNA sequences are termed “short or small interfering RNAs” (siRNAs) or “microRNAs” (miRNAs) depending in their origin. Both types of sequence may be used to down-regulate gene expression by binding to complimentary RNAs and either triggering mRNA elimination (RNAi) or arresting mRNA translation into protein. siRNA are derived by processing of long double stranded RNAs and when found in nature are typically of exogenous origin. Micro-interfering RNAs (miRNA) are endogenously encoded small non-coding RNAs, derived by processing of short hairpins. Both siRNA and miRNA can inhibit the translation of mRNAs bearing partially complimentary target sequences without RNA cleavage and degrade mRNAs bearing fully complementary sequences.

The siRNA ligands are typically double stranded and, in order to optimise the effectiveness of RNA mediated down-regulation of the function of a target gene, it is preferred that the length of the siRNA molecule is chosen to ensure correct recognition of the siRNA by the RISC complex that mediates the recognition by the siRNA of the mRNA target and so that the siRNA is short enough to reduce a host response.

miRNA ligands are typically single stranded and have regions that are partially complementary enabling the ligands to form a hairpin. miRNAs are RNA genes which are transcribed from DNA, but are not translated into protein. A DNA sequence that codes for a miRNA gene is longer than the miRNA. This DNA sequence includes the miRNA sequence and an approximate reverse complement. When this DNA sequence is transcribed into a single-stranded RNA molecule, the miRNA sequence and its reverse-complement base pair to form a partially double stranded RNA segment. The design of microRNA sequences is discussed in ref. [44].

Typically, the RNA ligands intended to mimic the effects of siRNA or miRNA have between 10 and 40 ribonucleotides (or synthetic analogues thereof), more preferably between 17 and 30 ribonucleotides, more preferably between 19 and 25 ribonucleotides and most preferably between 21 and 23 ribonucleotides. In some embodiments of the invention employing double-stranded siRNA, the molecule may have symmetric 3′ overhangs, e.g. of one or two (ribo)nucleotides, typically a UU of dTdT 3′ overhang. Based on the disclosure provided herein, the skilled person can readily design of suitable siRNA and miRNA sequences, for example using resources such as Ambion's siRNA finder, see http://www.ambion.com/techlib/misc/siRNA_finder.html. siRNA and miRNA sequences can be synthetically produced and added exogenously to cause gene downregulation or produced using expression systems (e.g. vectors). In a preferred embodiment the siRNA is synthesized synthetically.

Longer double stranded RNAs may be processed in the cell to produce siRNAs (see for example ref. [45]). The longer dsRNA molecule may have symmetric 3′ or 5′ overhangs, e.g. of one or two (ribo)nucleotides, or may have blunt ends. The longer dsRNA molecules may be 25 nucleotides or longer. Preferably, the longer dsRNA molecules are between 25 and 30 nucleotides long. More preferably, the longer dsRNA molecules are between 25 and 27 nucleotides long. Most preferably, the longer dsRNA molecules are 27 nucleotides in length. dsRNAs 30 nucleotides or more in length may be expressed using the vector pDECAP [46].

Another alternative is the expression of a short hairpin RNA molecule (shRNA) in the cell. shRNAs are more stable than synthetic siRNAs. A shRNA consists of short inverted repeats separated by a small loop sequence. One inverted repeat is complimentary to the gene target. In the cell the shRNA is processed by DICER into a siRNA which degrades the target gene mRNA and suppresses expression. In a preferred embodiment the shRNA is produced endogenously (within a cell) by transcription from a vector. shRNAs may be produced within a cell by transfecting the cell with a vector encoding the shRNA sequence under control of a RNA polymerase III promoter such as the human H1 or 7SK promoter or a RNA polymerase II promoter. Alternatively, the shRNA may be synthesised exogenously (in vitro) by transcription from a vector. The shRNA may then be introduced directly into the cell. Preferably, the shRNA molecule comprises a partial sequence of the gene to be down-regulated. Preferably, the shRNA sequence is between 40 and 100 bases in length, more preferably between 40 and 70 bases in length. The stem of the hairpin is preferably between 19 and 30 base pairs in length. The stem may contain G-U pairings to stabilise the hairpin structure.

siRNA molecules, longer dsRNA molecules or miRNA molecules may be made recombinantly by transcription of a nucleic acid sequence, preferably contained within a vector. Preferably, the siRNA molecule, longer dsRNA molecule or miRNA molecule comprises a partial sequence of the gene to be down-regulated.

In one embodiment, the siRNA, longer dsRNA or miRNA is produced endogenously (within a cell) by transcription from a vector. The vector may be introduced into the cell in any of the ways known in the art. Optionally, expression of the RNA sequence can be regulated using a tissue specific promoter. In a further embodiment, the siRNA, longer dsRNA or miRNA is produced exogenously (in vitro) by transcription from a vector.

In one embodiment, the vector may comprise a nucleic acid sequence according to the invention in both the sense and antisense orientation, such that when expressed as RNA the sense and antisense sections will associate to form a double stranded RNA. In another embodiment, the sense and antisense sequences are provided on different vectors.

Alternatively, siRNA molecules may be synthesized using standard solid or solution phase synthesis techniques which are known in the art. Linkages between nucleotides may be phosphodiester bonds or alternatives, for example, linking groups of the formula P(O)S, (thioate); P(S)S, (dithioate); P(O)NR′2; P(O)R′; P(O)OR6; CO; or CONR′2 wherein R is H (or a salt) or alkyl (1-12C) and R6 is alkyl (1-9C) is joined to adjacent nucleotides through —O— or —S—.

Modified nucleotide bases can be used in addition to the naturally occurring bases, and may confer advantageous properties on siRNA molecules containing them.

For example, modified bases may increase the stability of the siRNA molecule, thereby reducing the amount required for silencing. The provision of modified bases may also provide siRNA molecules which are more, or less, stable than unmodified siRNA.

The term ‘modified nucleotide base’ encompasses nucleotides with a covalently modified base and/or sugar. For example, modified nucleotides include nucleotides having sugars which are covalently attached to low molecular weight organic groups other than a hydroxyl group at the 3′position and other than a phosphate group at the 5′position. Thus modified nucleotides may also include 2′substituted sugars such as 2′-O-methyl-; 2-O-alkyl; 2-O-allyl; 2′-S-alkyl; 2′-S-allyl; 2′-fluoro-; 2′-halo or 2; azido-ribose, carbocyclic sugar analogues a-anomeric sugars; epimeric sugars such as arabinose, xyloses or lyxoses, pyranose sugars, furanose sugars, and sedoheptulose.

Modified nucleotides are known in the art and include alkylated purines and pyrimidines, acylated purines and pyrimidines, and other heterocycles. These classes of pyrimidines and purines are known in the art and include pseudoisocytosine, N4,N4-ethanocytosine, 8-hydroxy-N-6-methyladenine, 4-acetylcytosine, 5-(carboxyhydroxylmethyl) uracil, 5 fluorouracil, 5-bromouracil, 5-carboxymethylaminomethyl-2-thiouracil, 5-carboxymethylaminomethyl uracil, dihydrouracil, inosine, N6-isopentyl-adenine, 1-methyladenine, 1-methylpseudouracil, 1-methylguanine, 2,2-dimethylguanine, 2-methyladenine, 2-methylguanine, 3-methylcytosine, 5-methylcytosine, N6-methyladenine, 7-methylguanine, 5-methylaminomethyl uracil, 5-methoxy amino methyl-2-thiouracil, -D-mannosylqueosine, 5-methoxycarbonylmethyluracil, 5-methoxyuracil, 2 methylthio-N6-isopentenyladenine, uracil-5-oxyacetic acid methyl ester, psueouracil, 2-thiocytosine, 5-methyl-2 thiouracil, 2-thiouracil, 4-thiouracil, 5-methyluracil, N-uracil-5-oxyacetic acid methylester, uracil 5-oxyacetic acid, queosine, 2-thiocytosine, 5-propyluracil, 5-propylcytosine, 5-ethyluracil, 5-ethylcytosine, 5-butyluracil, 5-pentyluracil, 5-pentylcytosine, and 2,6,diaminopurine, methylpsuedouracil, 1-methylguanine, 1-methylcytosine.

Methods relating to the use of RNAi to silence genes in C. elegans, Drosophila, plants, and mammals are known in the art [47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59].

Other approaches to specific down-regulation of genes are well known, including the use of ribozymes designed to cleave specific nucleic acid sequences. Ribozymes are nucleic acid molecules, actually RNA, which specifically cleave single-stranded RNA, such as mRNA, at defined sequences, and their specificity can be engineered. Hammerhead ribozymes may be preferred because they recognise base sequences of about 11-18 bases in length, and so have greater specificity than ribozymes of the Tetrahymena type which recognise sequences of about 4 bases in length, though the latter type of ribozymes are useful in certain circumstances. References on the use of ribozymes include refs. [60] and [61].

The plant or animal in which the gene is upregulated or downregulated may be hybrid, recombinant or inbred. Thus, in some embodiments the invention may involve over-expressing genes correlated with one or more traits, in order to improve vigour or other characteristics of the transformed derivatives of inbred plants and animals.

In a further aspect, the invention is a method comprising:

analysing transcriptomes of parental plants or animals in a population of parental plants or animals;

measuring heterosis or other trait in a population of hybrids, wherein each hybrid in the population is a cross between a first plant or animal and a plant or animal selected from the population of parental plants or animals;

and

identifying a correlation between transcript abundance of one or more genes, preferably a set of genes, in the population of parental plants or animals and heterosis or other trait in the population of hybrids.

Thus, the invention provides a method of identifying an indicator of heterosis or other trait in a hybrid.

The plants or animals in the population whose transcriptomes are analysed are thus parents of the hybrids. These parents may be inbred or recombinant.

All hybrids in the population of hybrids used for developing each predictive model are the result of crossing one common parent with an array of different parents. Normally, all hybrids in the population share one common parent, which may be either the maternal parent or the paternal parent. Thus, the paternal parent of the all the hybrids in the population may be the “first parent plant or animal”, or the maternal parent of all the hybrids in the population may be the “first parent plant or animal”. For plants, a first female parent is normally crossed to a population of different male parents. For animals, a first male parent may preferably be crossed with a population of different females.

Suitable methods of determining or measuring heterosis in hybrids, of transcriptome analysis and of identifying correlations are discussed elsewhere herein.

Correlations between traits and transcript abundance represent models that may be used to predict traits in further plants or animals by determining transcript abundance in those plants or animals. The invention may thus be used to generate a model (e.g. a regression, as described in detail elsewhere herein) for predicting the trait based on transcript abundance of the one or more genes e.g. a set of genes.

Accordingly, in another aspect, the invention is a method of predicting heterosis or other trait in a hybrid, wherein the hybrid is a cross between a first plant or animal and a second plant or animal; comprising

determining the transcript abundance of one or more genes, preferably a set of genes, in the second plant or animal, wherein the transcript abundance of those one or more genes, or of the set of genes, in a population of parental plants or animals correlates with heterosis or other trait in a population of hybrids produced by crossing the first plant or animal with a plant or animal from the population of parental plants and animals; and

thereby predicting heterosis or other trait in the hybrid.

The invention may be used to predict one or more traits in hybrid offspring of parental plants or animals, based on transcript abundance in one of the parents. The parental plants or animals may be inbred or recombinant. Plants or animals may be referred to as “parents” or “parental plants or animals” even where they have not yet been crossed to produce a hybrid, since the invention may be used to predict traits in hybrids before those hybrids are produced. This is a particular advantage of the invention, in that methods of the invention may be used to predict heterosis or other trait in a potential hybrid, without needing to produce that hybrid in order to determine its heterosis or traits.

A plurality of plants or animals may be tested by determining transcript abundance using the method of the invention, each plant or animal representing the second parent for crossing to produce a hybrid, in order to identify a suitable plant or animal to use for breeding to produce a hybrid with a desired trait. A parent may then be selected for breeding based on the predicted trait for a hybrid produced by crossing that parent. Thus, in one example a germplasm collection, which may comprise a population of recombinants, may be screened for plants that may be suitable for inclusion in breeding programmes.

Following prediction of the trait in the hybrid, the inbred or recombinant plant or animal may be selected for breeding to produce a hybrid, e.g. as discussed further below. Alternatively, if the hybrid for which the trait is predicted has already been produced, that hybrid may be selected e.g. for further cultivation.

The method of predicting the trait may comprise, as an earlier step, a method of identifying an indicator of the trait in a hybrid, as described above.

When the method is used for predicting heterosis in hybrids based upon parental transcriptome data, for example data from inbred plants or animals, the one or more genes may comprise At3g112200 and/or one or more of the genes shown in Table 2, or one or more orthologues thereof.

When the method is used for predicting yield, e.g. grain yield, in hybrids based on parental transcriptome data, for example data from inbred plants or animals, e.g. maize, the one or more genes may comprise one or more of the genes shown in Table 22, or one or more orthologues thereof. For example, transcript abundance of one or more genes, e.g. a set of genes, from Table 22 may be determined in a maize plant and used for predicting yield in a hybrid cross between that maize line and B73.

Genes with transcript abundance correlating with other traits are shown in Tables 3 to 17 and Table 20, and transcript abundance of one or more of those genes in parental plants or animals may be used to predict those traits in accordance with hybrid offspring of those plants or animals, in accordance with this aspect of the invention. Alternatively, the invention may be used to identify other genes with transcript abundance in parental plants or animals correlating with those traits in their hybrid offspring.

By predicting heterosis and other traits in hybrids produced by crossing parental germplasm, whether they be inbred or recombinant, the invention allows selection of inbred or recombinant plants and animals that can be crossed to produce hybrids with high or improved levels of heterosis and desirable or improved levels of other traits.

Inbred or recombinant plants and animals may thus be selected on the basis of heterosis or other trait predicted in hybrids produced by crossing those plants and animals.

Accordingly, one aspect of the invention is a method comprising:

determining transcript abundance of one or more genes, preferably a set of genes, in parental plants or animals, wherein the transcript abundance of the one or more genes in a population of parental plants or animals correlates with heterosis or other trait in hybrid crosses between a first parental plant or animal and plants or animals from the population of parental plants or animals;

selecting one of the parental plants or animals; and

producing a hybrid by crossing the selected plant or animal and a different plant or animal, e.g. by crossing the selected plant or animal and the first plant or animal.

Thus, one or more traits may be predicted for hybrid crosses between the parental plants or animals, and then a parental plant or animal predicted to produce a hybrid with a desired trait e.g. late flowering, high heterosis, and/or high yield, and/or with a reduced undesirable trait, may be selected. Methods for predicting traits are discussed in more detail elsewhere herein.

Genes whose transcript abundance correlates with heterosis or other trait in hybrids produced by crossing a first plant or animal and other plants or animals are referred to elsewhere herein, and may be At3g112200 and/or one or more genes selected from the genes in Table 2, or orthologues thereof. Genes with transcript abundance correlating with other traits are shown in Tables 3 to 17 and Table 20, as described elsewhere herein.

Hybrids produced by methods of the invention may be raised or cultivated, e.g. to maturity or breeding age. The invention also extends to hybrids produced using methods of the invention.

The invention may be applied to any trait of interest. For example, traits to which the invention applies include, but are not limited to, heterosis, flowering time or time to flowering, seed oil content, seed fatty acid ratios, and yield. Examples genes whose transcript abundance correlates with certain traits are shown in the appended Tables. For animals, preferred traits are heterosis, yield and productivity. Traits such as yield may be underpinned by heterosis, and the invention may relate to modelling and/or predicting yield and other traits, and/or modelling and/or predicting heterosis for yield and other traits, based on transcript abundances of genes.

Genes in Tables shown herein are identified by AGI numbers, Affymetrix Probe identifier numbers and/or GenBank database accession numbers. AGI numbers can be used to identify the gene from TAIR (The Arabidopsis Information Resource), available on-line at http://www.arabidopsis.org/index.jsp, or findable by searching for “TAIR” and/or “Arabidopsis information resource” using an internet search engine. Affymetrix Probe identifier numbers can be used to identify sequences from Netaffx, available on-line at http://www.affymetrix.com/analysis/index.affx, or findable by searching for “netaffx” and/or “Affymetrix” using an internet search engine. It is now possible to convert between the two identifier formats using the converter, from Toronto university, currently available at http://bbc.botany.utoronto.ca/ntools/cgi-bin/ntools_(—)agi_converter.cgi, or findable by searching for “agi converter” using an internet search engine. GenBank accession numbers can be used to obtain the corresponding sequence from GenBank, available at http://www.ncbi.nlm.nih.gov/Genbank/index.html or findable using any internet search engine.

A set of genes may comprise a set of genes selected from the genes shown in a table herein.

In methods of the invention relating to heterosis, the one or more genes may comprise one or more of the 70 genes listed in Table 1 or one or more orthologues thereof, and/or may comprise one or more of the genes listed in Table 19 or one or more orthologues thereof.

In methods relating to traits other than heterosis, the trait may for example be a trait referred for Tables 3 to 17, Table 20 or Table 22, and the one or more genes may comprise one or more of the genes shown in the relevant tables, or one or more orthologues thereof. Preferably, the genes in Tables 3 to 17, 20 and/or 22 are used for predicting or influencing (increasing or decreasing) traits in inbred plants or animals. However, the genes may also be used for predicting, increasing or decreasing traits in recombinants and/or hybrids.

When the trait is flowering time, or time to flowering, in plants, e.g. as represented by leaf number at bolting, the one or more genes may comprise one or more genes shown in Table 3 or Table 4, or orthologues thereof. Table 3 shows genes for which transcript abundance was shown to correlate with flowering time in vernalised plants, and Table 4 shows genes for which transcript abundance was shown to correlate with flowering time in unvernalised plants. These may be used for predicting flowering time in vernalised or unvernalised plants, respectively. However, as discussed elsewhere herein, transcript abundance of genes which correlates with a trait in vernalised plants may also correlate (normally according to a different model or equation) with the trait in unvernalised plants. Thus, transcript abundance of genes in either Table 3 or Table 4 may be used to predict flowering time in either vernalised or unvernalised plants, using the appropriate correlation for vernalised or unvernalised plants respectively.

Whilst the transcript abundance data of the genes listed in many of the Tables herein were used in our example for predicting traits in vernalised plants, these data could also be used to predict traits in unvernalised plants. Thus, a first correlation may be identified between transcript abundance and the trait in vernalised plants, and a second correlation may be identified between transcript abundance and the trait in unvernalised plants. The appropriate model may then be used to predict the trait in vernalised or unvernalised plants respectively, based on transcript abundance of one or more of those genes, or orthologues thereof.

Oil content is a useful trait to measure in plants. This is one of the measures used to determine seed quality, e.g. in oilseed rape.

When the trait is oil content of seeds, e.g. as represented by % dry weight, the one or more genes may comprise one or more genes shown in Table 6, or orthologues thereof.

Seed quality may also be represented by the proportion, percentage weight or ratio of certain fatty acids.

Normally, seed traits are predicted for vernalised plants, e.g. oilseed rape in the UK is grown as a Winter crop and will therefore be vernalised at the time of trait expression (seed production in this example). However, predictions may be for either vernalised or unvernalised plants.

When the trait is ratio of 18:2/18:1 fatty acids in seed oil, the one or more genes may comprise one or more genes selected from the genes shown in Table 7, or orthologues thereof.

When the trait is ratio of 18:3/18:1 fatty acids in seed oil, the one or more genes may comprise one or more genes selected from the genes shown in Table 8, or orthologues thereof.

When the trait is ratio of 18:3/18:2 fatty acids in seed oil, the one or more genes may comprise one or more genes selected from the genes shown in Table 9, or orthologues thereof.

When the trait is ratio of 20C+22C/16C+18C fatty acids in seed oil, the one or more genes may comprise one or more genes selected from the genes shown in Table 10, or orthologues thereof.

When the trait is ratio of polyunsaturated/monounsaturated+saturated 18C fatty acids in seed oil, the one or more genes may comprise one or more genes selected from the genes shown in Table 12, or orthologues thereof.

When the trait is % 16:0 fatty acid in seed oil, the one or more genes may comprise one or more genes selected from the genes shown in Table 14, or orthologues thereof.

When the trait is % 18:1 fatty acid in seed oil, the one or more genes may comprise one or more genes selected from the genes shown in Table 15, or orthologues thereof.

When the trait is % 18:2 fatty acid in seed oil, the one or more genes may comprise one or more genes selected from the genes shown in Table 16, or orthologues thereof.

When the trait is % 18:3 fatty acid in seed oil, the one or more genes may comprise one or more genes selected from the genes shown in Table 17, or orthologues thereof.

It may be desirable to predict responsiveness of a plant trait to vernalisation, and this may be measured for example as the ratio of a trait measurement in vernalised plants to the trait measurement in unvernalised plants.

For example, responsiveness of flowering time to vernalisation may be measured as the ratio of leaf number at bolting in vernalised plants to leaf number at bolting in unvernalised plants. Genes whose transcript abundance correlates with this ratio are shown in Table 5. Thus, in embodiments of the invention where the trait is responsiveness of plant flowering time to vernalisation, the one or more genes may comprise one or more genes shown in Table 5, or orthologues thereof.

Responsiveness to vernalisation of the ratio of 20C+22C/16C+18C fatty acids in seed oil may be measured as the ratio of (ratio of 20C+22C/16C+18C fatty acids in seed oil in vernalised plants) to (ratio of 20C+22C/16C+18C fatty acids in seed oil in unvernalised plants). Genes whose transcript abundance correlates with this ratio are shown in Table 11. Thus, in embodiments of the invention where the trait is responsiveness of this ratio to vernalisation, the one or more genes may comprise one or more genes shown in Table 11, or orthologues thereof.

Responsiveness to vernalisation of the ratio of polyunsaturated/monounsaturated+saturated 18C fatty acids in seed oil may be measured as the ratio of (ratio of polyunsaturated/monounsaturated+saturated 18C fatty acids in seed oil in vernalised plants) to (ratio of polyunsaturated/monounsaturated+saturated 18C fatty acids in seed oil in unvernalised plants). Genes whose transcript abundance correlates with this ratio are shown in Table 13. Thus, in embodiments of the invention where the trait is responsiveness of this ratio to vernalisation, the one or more genes may comprise one or more genes shown in Table 13, or orthologues thereof.

When the trait is yield, the one or more genes may comprise one or more of the genes shown in Table 20 or Table 22, or orthologues thereof.

Genes in Tables 1 to 17 are from Arabidopsis thaliana, and may be used in embodiments of the invention relating to A. thaliana or to another organism, such as for predicting or increasing heterosis in a plant or animal (genes of Tables 1 and 2, or orthologues thereof), or for predicting, increasing or decreasing another trait in A. thaliana or other plant. Genes in Tables 19, and 22 are from maize, and may be used in embodiments of the invention relating to maize or to another organism, such as for predicting or increasing heterosis in a plant or animal (genes of Table 19 or orthologues thereof) or for predicting, increasing or decreasing another trait in maize or other plant.

We have demonstrated that transcript abundance in plants of genes shown in Tables 1, 3 to 17, 20 and 22 is predictive of the described traits in those plants. In some embodiments of the invention relating to use of parental transcriptome data for prediction of traits in hybrids, transcript abundance in plants of genes shown in Tables 1, 3 to 17, 20 and 22 or orthologues thereof may be used to predict the described traits in hybrid offspring of those plants.

Preferably, in embodiments of the invention relating to use of parental transcriptome data for prediction of heterosis in hybrids, transcript abundance in plants of At3g112200 and/or of genes shown in Table 2, or orthologues thereof, is used to predict the magnitude of heterosis in hybrid offspring of those plants.

In embodiments of the invention relating to use of parental transcriptome data for prediction of yield, e.g. grain yield, in hybrids, transcript abundance in plants of one or more genes shown in Table 22 is used to predict the yield in hybrid offspring of those plants.

Heterosis or other trait is normally determined quantitatively. As noted above, heterosis may be described relative to the mean value of the parents (Mid-Parent Heterosis, MPH) or relative to the “better” of the parents (Best-Parent Heterosis, BPH).

Heterosis may be determined on any suitable measurement, e.g. size, fresh or dry weight at a given age, or growth rate over a given time period, or in terms of some measure of yield or quality. Heterosis may be determined using historical data from the parental and/or hybrid lines.

Heterosis may be calculated based on size, for which size measurements may for example be taken of the maximum length and width of the plant or animal, or of a part of the plant or animal, e.g. using electronic callipers. For plants, heterosis may be calculated based on total aerial fresh weight of the plants, which may be determined by cutting off all above soil plant material, quickly removing any soil attached, and weighing.

In preferred embodiments, heterosis is heterosis for yield (e.g. in plants or animals, yield of harvestable product), or heterosis for fresh weight (e.g. fresh weight of aerial parts of a plant).

The magnitude of heterosis may thus be determined, and is normally expressed as a % value. For example, mid parent heterosis for fresh weight can be presented as a percentage figure calculated as (weight of the hybrid−mean weight of the parents)/mean weight of the parents. Best parent heterosis for fresh weight can be presented as a percentage figure calculated as (weight of the hybrid−weight of the heaviest parent)/weight of the heaviest parent.

For other traits, an appropriate measurement can be determined by the skilled person. Some traits can be directly recorded as a magnitude, e.g. seed oil content, weight of plant or animal, or yield. Other traits would be determined with reference to another indicator, e.g. flowering time may be represented by leaf number at bolting. The skilled person is able to select an appropriate way to quantify a particular trait, e.g. as a magnitude, ratio, degree, volume, time or rate, and to measure suitable factors representative of the relevant trait.

A transcript is messenger RNA transcribed from a gene. The transcriptome is the contribution of each gene in the genome to the mRNA pool. The transcriptome may be analysed and/or defined with reference to a particular tissue, as discussed elsewhere herein. Analysis of the transcriptome may thus be determination of transcript abundance of one or more genes, or a set of genes.

Transcriptome analysis or determination of transcript abundance is normally performed on tissue samples from the plants or animals. Any part of the plant or animal containing RNA transcripts may be used for transcriptome analysis. Where an organism is a plant, the tissue is preferably from one or more, preferably all, aerial parts of the plant, preferably when the plant is in the vegetative phase before flowering occurs. In some embodiments, transcriptome analysis may be performed on seeds. Methods of the invention may involve taking tissue samples from the plants or animals. In methods of predicting the heterosis or other trait, the sampled organism may remain viable after the tissue sample has been taken. Where prediction is to be performed for genetically identical plants or animals, which may be grown on a different occasion, tissues may include all parts or all aerial plants or a whole seed (for plants) or the whole embryo (for animals). Where prediction is to be performed for the exact plant sampled, a subset of the leaves of the plant may be sampled. However, there is no requirement for the organism to remain viable, since sampling of one or more individuals for transcriptome analysis that results in loss of viability may be used for the prediction of heterosis or other traits in hybrid, inbred or recombinant organisms of similar or identical genetic composition grown on either the same or a different occasion and under the same or different environmental conditions.

Typically, transcriptome analysis is performed on RNA extracted from the plant or animal. The invention may comprise extracting RNA from a tissue sample of the hybrid or inbred plant or animal. Any suitable methods of RNA extraction may be used, e.g. see the protocol set out in the Examples.

Transcriptome analysis comprises determining the abundance of an array of RNA transcripts in the transcriptome. Where oligonucleotide chips are used for transcriptome analysis, the numbers of genes potentially used for model development are the numbers of probes on the GeneChips—ca. 23,000 for Arabidopsis and ca. 18,000 for the present maize Chip. Thus, while in some embodiments, the transcript abundance of each gene in the genome is assessed, normally transcript abundance of a selected array of genes in the genome is assessed.

Various techniques are available for transcriptome analysis, and any suitable technique may be used in the invention. For example, transcriptome analysis may be performed by bringing an RNA sample into contact with an oligonucleotide array or oligonucleotide chip, and detecting hybridisation of RNA transcripts to oligonucleotides on the array or chip. The degree of hybridisation to each oligonucleotide on the chip may be detected. Suitable chips are available for various species, or may be produced. For example, Affymetrix GeneChip array hybridisation may be used, for example using protocols described in the Affymetrix Expression Analysis Technical Manual II (currently available at http://www.affymetrix.com/support/technical/manuals.affx. or findable using any internet search engine). For detailed examples of transcriptome analysis, please see the Examples below.

Transcript abundance of one or more genes, e.g. a set of genes, may be determined, and any of the techniques above may be employed. Alternatively, reverse transcriptase may be used to synthesise double stranded DNA from the RNA transcript, and quantitative polymerase chain reaction (PCR) may be used for determining abundance of the transcript.

Transcript abundance of a set of genes may be determined. A set of genes is a plurality of genes, e.g. at least 10, 20, 30, 40, 50, 60, 70, 80, 90 or 100 genes. The set may comprise genes correlating positively with a trait and/or genes correlating negatively with the trait. As noted below, preferably, the set of genes is one for which transcript abundance of that set of genes allows prediction of heterosis or other trait. The skilled person may use methods of the invention to determine which genes are most useful for predicting heterosis or other traits in hybrids, and therefore to determine which genes can most usefully be assessed for transcript abundance in accordance with the invention. Additionally, examples of sets of genes for prediction of heterosis and other traits are shown herein.

Preferably, analysis of transcript abundance is performed in the same way for the plants or animals used to generate a model or correlation with a trait “model organism” as for the plants or animals in which the trait is predicted based on that model “test organism”. Preferably, the model and test organisms are raised under identical conditions and transcriptome analysis is performed on both the model and test organisms at the same age, time of day and in the same environment, in order to maximise the predictive value of the model based on transcriptome data from the model organisms.

Accordingly, predicting a trait in a test plant or animal may comprise determining transcript abundance of one or more genes in the test plant or animal at a particular age, wherein transcript abundance of the one or more genes in the transcriptome of model plants or animals at that age conditions correlates with the trait. Thus, preferably transcript abundance in the organism (i.e. plant or non-human animal) is determined when the organism is at the same age as the organisms in the population on which the correlation between transcript abundance and heterosis or other trait was determined. Thus, predicting the degree of a trait in an organism may comprise determining the abundance of transcripts of one or more genes, preferably a set of genes, in the organism at a selected age, and determining the transcript abundance of one or more genes, preferably a set of genes, wherein the transcript abundance of those one or more genes or set of genes in the transcriptome of organisms at the said age correlates with heterosis or other trait in the organism.

As noted elsewhere herein, the age at which transcript abundance is determined may be earlier than the age at which the trait is expressed, e.g. where the trait is flowering time the transcriptome analysis may be performed when plants are in vegetative phase.

Preferably, transcriptome analysis and determination of transcript abundance is determined on plant or animal material sampled at a particular time of day. For example, plant tissue samples may be taken at the middle of the photoperiod (or as close as practicable). Thus, when predicting a trait by determining the transcript abundance of one or more genes (e.g. set of genes) whose transcript abundance correlates with that trait, the transcript abundance data for making the prediction are preferably determined at the same time of day as the transcript abundance data used to generate the correlation.

Some aspects of the invention relate to plants, such as cereals, that require vernalisation before flowering. Vernalisation is a period of exposure to cold, which promotes subsequent flowering. Plants requiring vernalisation do not flower the same year when sown in Spring, but continue to grow vegetatively. Such plants (“winter varieties”) require vernalisation over Winter, and so are planted in the Autumn to flower the following year. In the present invention, plants may be vernalised or unvernalised.

Transcriptome data may be obtained from plants when vernalised or unvernalised, and those data may be used to identify a correlation between transcript abundance and a trait measured in vernalised plants and/or a correlation between transcript abundance and the trait measured in unvernalised plants. Thus, surprisingly, we have shown that transcriptome data from vernalised plants can be used to develop a model for predicting traits in unvernalised plants, as well as being useful to develop a model for predicting traits in vernalised plants.

In methods of the invention, comparisons and predictions are preferably between plants or animals of the same genus and/or species. Thus, methods of predicting heterosis or other trait in a plant or animal may be based on correlations obtained in a population of hybrids, inbreds or recombinants of that species of plant or animal. However, as discussed elsewhere herein, correlations obtained in one species may be applied to other species, e.g. to other plants or other animals in general, or to both plants and animals, especially where the other species exhibit similar traits. Thus, the test organism in which the trait is predicted need not be of the same species as the model organisms in which the correlation for prediction of the trait was developed.

Determination of transcript abundance for prediction of a trait is normally performed on the same type of tissue as that in which the correlation between the trait and transcript abundance was determined. Thus, predicting the degree of heterosis in a hybrid may comprise determining transcript abundance in tissue in or from the hybrid, and determining the transcript abundance of one or more genes, preferably a set of genes, wherein the transcript abundance of those one or more genes in the transcriptome of the said tissue in hybrids correlates with heterosis or other trait in hybrids.

Data may be compiled, the data comprising:

(i) a value representing the magnitude of heterosis or other trait in each plant or animal; (ii) transcriptome analysis data in each plant or animal, wherein the transcriptome analysis data represents the abundance of each of an array of gene transcripts.

For determination of a correlation, data should be obtained from a plurality of plants or animals. In methods of the invention it is thus preferable that transcriptome analyses are performed and traits are determined for at least three plants or animals, more preferably at least five, e.g. at least ten. Use of more plants or animals, e.g. in a population, can lead to more reliable correlations and thus increase the quantitative accuracy of predictions according to the invention.

Any suitable statistical analysis may be employed to identify a correlation between transcript abundance of one or more genes in the transcriptomes of the plants or animals and the magnitude of heterosis or other trait. The correlation may be positive or negative. For example, it may be found that some transcripts have an abundance correlating positively with heterosis or other trait, while other transcripts have an abundance correlating negatively with heterosis or other trait.

Data from each plant or animal may be recorded in relation to heterosis and/or multiple other traits. Accordingly, the invention may be used to identify which genes have a transcript abundance correlating with which traits in the organism. Thus, a detailed profile may be compiled for the relationship between transcript abundance and heterosis and other traits in the population of organisms.

Typically, an analysis is performed using linear regression to identify the relationship between transcript abundance and the magnitude of heterosis (MPH and/or BPH) or other trait. An F-value may then be calculated. The F value is a standard statistic for regression. It tests the overall significance of the regression model. Specifically, it tests the null hypothesis that all of the regression coefficients are equal to zero. The F value is the ratio of the mean regression sum of squares divided by the mean error sum of squares with values that range from zero upward. From this we get the F Prob (the probability that the null hypothesis that there is no relationship is true). A low value implies that at least some of the regression parameters are not zero and that the regression equation does have some validity in fitting the data, indicating that the variables (gene expression level) are not purely random with respect to the dependent variable (trait value at that point).

Preferably a correlation identified using the invention is a statistically significant correlation. Significance levels may be determined as F statistics from the regression Mean Square in the analysis of variance tables of the linear regression analysis. Statistical significance may be indicated for example by F<0.05, or <0.001.

Other potential relationships exist between gene expression and plant phenotype, besides simple linear relationships. For example, relationships may fall on a logistic curve. A computer model (e.g. GenStat) may be used to fit the data to a logistic curve.

Non-linear modelling covers those expression patterns that form any part of a sigmoidal curve, from exponential-type patterns, to threshold and plateau type patterns. Non-linear methods may also cover many linear patterns, and thus may preferentially be used in some embodiments of the invention.

Normally a computer program is used to identify the correlation or correlations. For example, as described in more detail in the Examples below, linear regression analysis may be performed using GenStat, e.g. Program 3 below is an example of a linear regression programme to identify linear regressions between the hybrid transcriptome and MPH.

More generally, each of the methods of the above aspects may be implemented in whole or in part by a computer program which, when executed by a computer, performs some or all of the method steps involved. The computer program may be capable of performing more than one of the methods of the above aspects.

Another aspect of the invention provides a computer program product containing one or more such computer programs, exemplified by a data carrier such as a compact disk, DVD, memory storage device or other non-volatile storage medium onto which the computer program(s) is/are recorded.

A further aspect of the invention is a computer system having a processor and a display, wherein the processor is operably configured to perform the whole or part of the method of one or more of the above aspects, for example by means of a suitable computer program, and to display one or more results of those methods on the display. Typically the computer will be a general purpose computer and the display will be a monitor. Other output devices may be used instead of or in addition to the display including, but not limited to, printers.

Preferably, a set of genes, e.g. less than 1000, 500, 250 or 100 genes, is identified for which transcript abundance correlates with heterosis or other trait, wherein transcript abundance of that set of genes allows prediction of heterosis or other trait. A smaller set of genes that remains predictive of the trait may then be identified by iterative testing of the precision of predictions by progressively reducing the numbers of genes in the models, preferentially retaining those with the best correlation of transcript abundance with heterosis or the other trait, e.g. genes with the most significant (e.g. p<0.001) correlations between transcript abundance and traits. Thus, methods of the invention may comprise identifying a correlation between a trait and transcript abundance of a set of genes in transcriptomes, and then identifying a smaller set or sub-set of genes from within that set, wherein transcript abundance of the smaller set of genes is predictive of the trait. Preferably the smaller set of genes retains most of the predictive power of the set of genes.

The magnitude of heterosis or other trait may be predicted from transcript abundance of one or more genes, preferably of a set of genes as noted above, based on a correlation of the transcript abundance with heterosis or other trait (e.g. a linear regression as described above).

Thus, the equation of the linear regression line (linear or non-linear) for each of the gene transcripts showing a correlation with magnitude of heterosis or other trait may be used to calculate the expected magnitude of heterosis or other trait from the transcript abundance of that gene. The aggregate of the predicted contributions for each gene is then used to calculate the trait value (e.g. as the sum of the contribution from each gene transcript, normalised by the coefficient of determination, r².

DRAWINGS

FIG. 1: Workflows for the analysis of expression data for the investigation of heterosis. a) Standard protocols; b) Recommended Prediction Protocol; c) Alternative ‘Basic’ Prediction Protocol; d) Transcription Remodelling Protocol

LIST OF TABLES

Table 1: Genes in Arabidopsis thaliana hybrids, transcripts of which correlate with magnitude of heterosis in the hybrids

Table 2: Genes in Arabidopsis thaliana inbred lines, transcripts of which correlate with magnitude of heterosis in hybrids produced by crossing those lines with Ler ms1. (A: positive correlation; B: negative correlation)

Table 3: Genes in Arabidopsis thaliana inbred lines, showing correlation in transcript abundance with leaf number at bolting in vernalised plants (A: positive correlation; B: negative correlation)

Table 4: Genes in Arabidopsis thaliana inbred lines showing correlation in transcript abundance with leaf number at bolting in unvernalised plants (A: positive correlation; B: negative correlation)

Table 5: Genes in Arabidopsis thaliana inbred lines showing correlation in transcript abundance with ratio of leaf number at bolting (vernalised plants)/leaf number at bolting (unvernalised plants). (A: positive correlation; B: negative correlation)

Table 6: Genes in Arabidopsis thaliana inbred lines showing correlation between transcript abundance and oil content of seeds, % dry weight in vernalised plants (A: positive correlation; B: negative correlation)

Table 7: Genes in Arabidopsis thaliana inbred lines showing correlation between transcript abundance and ratio of 18:2/18:1 fatty acids in seed oil in vernalised plants (A: positive correlation; B: negative correlation)

Table 8: Genes in Arabidopsis thaliana inbred lines showing correlation between transcript abundance and ratio of 18:3/18:1 fatty acids in seed oil in vernalised plants (A: positive correlation; B: negative correlation)

Table 9: Genes in Arabidopsis thaliana inbred lines showing correlation between transcript abundance and ratio of 18:3/18:2 fatty acids in seed oil in vernalised plants (A: positive correlation; B: negative correlation)

Table 10: Genes in Arabidopsis thaliana inbred lines showing correlation between transcript abundance and ratio of 20C+22C/16C+18C fatty acids in seed oil in vernalised plants (A: positive correlation; B: negative correlation)

Table 11: Genes in Arabidopsis thaliana inbred lines showing correlation between transcript abundance and ratio of (ratio of 20C+22C/16C+18C fatty acids in seed oil (vernalised plants))/(ratio of 20C+22C/16C+18C fatty acids in seed oil (unvernalised plants)) (A: positive correlation; B: negative correlation)

Table 12: Genes in Arabidopsis thaliana inbred lines showing correlation between transcript abundance and ratio of polyunsaturated/monounsaturated+saturated 18C fatty acids in seed oil in vernalised plants (A: positive correlation; B: negative correlation)

Table 13: Genes in Arabidopsis thaliana inbred lines showing correlation between transcript abundance and ratio of (ratio of polyunsaturated/monounsaturated+saturated 18C fatty acids in seed oil (vernalised plants))/(ratio of polyunsaturated/monounsaturated+saturated 18C fatty acids in seed oil (unvernalised plants)) (A: positive correlation; B: negative correlation)

Table 14: Genes in Arabidopsis thaliana inbred lines showing correlation between transcript abundance and % 16:0 fatty acid in seed oil in vernalised plants (A: positive correlation; B: negative correlation)

Table 15: Genes in Arabidopsis thaliana inbred lines showing correlation between transcript abundance and % 18:1 fatty acid in seed oil (vernalised plants)

(A: positive correlation; B: negative correlation)

Table 16: Genes in Arabidopsis thaliana Inbred Lines Showing correlation between transcript abundance and % 18:2 fatty acid in seed oil (vernalised plants) (A: positive correlation; B: negative correlation)

Table 17: Genes in Arabidopsis thaliana inbred lines showing correlation between transcript abundance and % 18:3 fatty acid in seed oil (vernalised plants) (A: positive correlation; B: negative correlation)

Table 18: Prediction of complex traits in inbred lines (accessions) using models based on accession transcriptome data

Table 19: Genes in maize for prediction of heterosis for plant height. Data were obtained in plants at CLY location only (model from 13 hybrids). Representative public ID shows GenBank accession numbers. (A: positive correlation; B: negative correlation)

Table 20: Genes in maize for prediction of average yield. Data were obtained in plants across 2 sites, MO and L (model from 12 hybrids to predict 3). Representative public ID shows GenBank accession numbers. (A: positive correlation; B: negative correlation)

Table 21: Pedigree and seedling growth characteristics of maize inbred lines used in Example 6a

Table 22: Maize genes for which transcript abundance in inbred lines of the training dataset is correlated (P<0.00001) with plot yield of hybrids with line B73. A negative value for the slope indicates a negative correlation between abundance of the transcript and yield, and a positive value indicates a positive correlation.

Table 23: Maize plot yield data for Example 6a.

EXAMPLES Example 1 Transcriptome Remodelling in Arabidopsis Hybrids

Our initial studies employed Arabidopsis thaliana. We conducted all of our heterosis analyses in F1 hybrids between accessions of A. thaliana, which can be considered inbred lines due to their lack of heterozygosity. The genome sequence of A. thaliana is available [62] and resources for transcriptome analysis in this species are well developed [63]. A. thaliana also shows a wide range of magnitude of hybrid vigour [7, 64, 65].

The null hypothesis is that all parental alleles contribute to the transcriptome in an additive manner, i.e. if alleles differ in their contribution to transcript abundance, the observed value in the hybrid will be the mean of the parent values. There are six patterns of transcript abundance in hybrids that depart from this expected additive effect of contrasting parental alleles [28]:

(i) transcript abundance in the hybrid is higher than either parent; (ii) transcript abundance in the hybrid is lower than either parent; (iii) transcript abundance in the hybrid is similar to the maternal parent and both are higher than the paternal parent; (iv) transcript abundance in the hybrid is similar to the paternal parent and both are higher than the maternal parent; (v) transcript abundance in the hybrid is similar to the maternal parent and both are lower than the paternal parent; (vi) transcript abundance in the hybrid is similar to the paternal parent and both are lower than the maternal parent.

When using quantitative analytical methods, the terms “higher than”, “lower than” and “similar to” can be defined by specific fold-difference criteria. Although differences in the contributions to the transcriptome of divergent alleles in maize hybrids has been reported as common [29, 66] the lack of absolute quantitative analysis of transcript abundance in parental inbred lines means that it is not possible to determine whether the observed effects are due to allelic interaction in the hybrid or simply the expected additive effects of alleles with differing transcript abundance characteristics. We would not consider such additive effects as components of transcriptome remodelling.

We produced reciprocal hybrids between A. thaliana accessions Kondara and Br-0, and between Landsberg er ms1 and Kondara, Mz-0, Ag-0, Ct-1 and Gy-0, with Landsberg er ms1 as the maternal parent. Hybrids and parents were grown under identical environmental conditions and heterosis calculated for the fresh weight of the aerial parts of the plants after 3 weeks growth (see Materials and Methods). The heterosis observed for each combination was recorded (BPH (%) and MPH (%))

RNA was extracted from the same material and the transcriptome was analysed using ATH1 GeneChips. Plants were grown in three replicates on three successive occasions. RNA was pooled from the three replicates for analysis of gene expression levels on each occasion.

Transcript abundance values in A. thaliana hybrids were compared over all experimental occasions and genes showing differences, at defined fold-levels from 1.5 to 3.0, corresponding to the six patterns indicative of transcriptome remodelling, were identified. Genes with transcript abundance differing between the parents by the same defined fold-level were also identified. The number of genes that appeared consistently in each of these 8 categories across all 3 experimental occasions was counted. To assess whether the number of genes classified into each category differed from that expected by chance, permutation analysis (bootstrapping) was used to calculate an expected value under the null hypothesis of no remodelling.

The significance of the experimental results was assessed, for each category independently, using Chi square tests. The results of the analysis, summarised in Table 1 for 2-fold differences, show that transcriptome remodelling occurred in all of the hybrids analysed, with most individual observations showing highly significant (p<0.001) divergence from the null hypothesis. Similar analyses were conducted for 1.5- and 3-fold differences, with extensive remodelling also being identified. Based on the analysis of gene ontology information, there were no obvious functional relationships of the remodelled genes in the hybrids.

Further analysis of selected genes from these categories were conducted using additional GeneChip hybridisation experiments and by quantitative RT-PCR, and confirmed the transcript abundance patterns. GeneChip hybridization was also performed using genomic DNA from accessions Kondara, Br-0 and Landsberg er ms1, to assess the proportion of differences between parental transcriptomes attributable to sequence polymorphisms that would prevent accurate reporting of transcript abundance by the arrays. We found that ca. 20% of the differences between parental transcriptomes may be attributable to sequence variation. However, this does not affect the remodelling analysis, as additivity of allelic contributions to the mRNA pool in hybrids where one parental allele failed to report accurately on the array would result in intermediate signal strength, so would not be assigned to any of the remodelled classes.

The relationship of transcriptome remodelling with hybrid vigour was assessed by carrying out linear regression of the number of genes remodelled in each hybrid combination, at the 1.5, 2 and 3-fold levels, on the magnitude of heterosis observed. This revealed a strong relationship between heterosis and the transcriptome remodelling at the 1.5-fold level (r+0.738, coefficient of determination r²=0.544 for MPH; r=+0.736, r²=0.542 for BPH). The correlation was more modest between heterosis and the transcriptome remodelling involving higher fold level changes (r²=0.213 and 0.270 for MPH and BPH, respectively, for 2-fold changes; r²=0.300 and 0.359 for MPH and BPH, respectively, for 3-fold changes). There was extensive remodelling, at all fold changes, even in the hybrid combinations showing the least heterosis. Consequently, the majority of remodelling events identified that result in transcript abundance changes of 2-fold or greater, even in strongly heterotic hybrids, are likely to be unrelated to heterosis. The most highly enriched class in heterotic hybrids is those genes showing 1.5-fold differential abundance, which is below the threshold usually set in transcriptome analysis experiments.

Heterosis shows an inconsistent relationship with the degree of relatedness of parental lines, with an absence of correlation reported between heterosis and genetic distance in A. thaliana [7]. We estimated the genetic distance between the accessions used in the hybrid combinations we have analysed, and these are shown in Table 1. To assess the relationship of transcriptome remodelling with genetic distance, we regressed the number of genes classified as having remodelled transcript abundance in each hybrid combination against genetic distance. We found that transcriptome remodelling is associated with genetic distance in the higher-fold remodelling classes (r²=0.351 and 0.281 for 2 and 3-fold changes respectively), but not for 1.5-fold remodelling (r²=0.030). We found no relationship between heterosis and genetic distance, in accordance with previous reports in A. thaliana (r²=0.024 and 0.005 for MPH and BPH, respectively, against relative genetic distance). We conclude that the formation of hybrids between divergent inbred lines results in transcriptome remodelling, with the extent of remodelling increasing with the degree of genetic divergence of those lines. This result is consistent with the expected effects of allelic variation on transcriptional regulatory networks. The relationship between transcriptome remodelling and heterosis can be interpreted as meaning that heterosis is likely to require transcriptome remodelling to occur, but that much of this involves low magnitude remodelling of the transcript abundance of a large number of genes.

The results of the above experiments indicate that the conventional approach to the analysis of the transcriptome in the hybrid, i.e. studying one or very few hybrid combinations, is unlikely to result in the identification of genes involved specifically in heterosis.

Example 2 Transcript Abundance in Hybrid Transcriptomes

We carried out an analysis using linear regression to identify the relationship between transcript abundance in a range of hybrids and the strength of heterosis (both MPH and BPH) shown by those hybrids. Significance levels were determined as F statistics from the regression Mean Square in the analysis of variance tables of the linear regression analysis. For this, we used the heterosis measurements and hybrid transcriptome data from the combinations described above with Landsberg er ms1 as the maternal parent, and from additional hybrids between Landsberg er ms1, as the maternal parent, and Columbia, Wt-1, Cvi-0, Sorbo, Br-0, Ts-5, Nok3 and Ga-0. Transcriptome data from 32 GeneChips, representing between 1 and 3 replicates from each of these 13 hybrid combinations of accessions, were used in this study. Nine genes were identified that showed highly significant (F<0.001) regressions (all positive) of transcript abundance in the hybrid on the magnitude of both MPH and BPH. Thirty-four genes showed highly significant regressions (F<0.001; 22 positive, 12 negative) of transcript abundance in the hybrid on MPH and significant regressions (F<0.05) on BPH. Twenty-seven genes showed highly significant regressions (F<0.001; 23 positive, 4 negative) of transcript abundance in the hybrid on magnitude of BPH and significant (F<0.05) regression on MPH. The genes are shown in Table 1 below. Based on gene ontology information, there are no obvious functional relationships between these 70 genes and no excess representation of genes involved in transcription.

The ability to identify a set of genes that show highly significant correlation of transcript abundance and magnitude of heterosis across 13 hybrids indicates that transcriptome-level events are predominant in the manifestation of heterosis. To confirm that this is correct, and that the genes we have identified are indicative of the transcript abundance characteristics that are important in heterosis, we utilized these discoveries to predict the strength of heterosis in new hybrid combinations based on the transcript abundance of the 70 defined genes. We built a mathematical model using the equations of the linear regression lines recalculated for each of the 70 genes against both MPH and BPH, to calculate the expected heterosis as the sum of the contribution from each gene, normalised by the coefficient of determination, r². The model operates as a Microsoft Excel spreadsheet, which is available as supplementary materials on Science Online. The spreadsheet also contained the normalised transcriptome data for the 70 genes from each of the hybrids studied. The model was validated by “predicting” the heterosis in the training set of 32 hybrids from which transcriptome data were used for its construction. It predicted heterosis across the full range of magnitude observed, for both MPH and BPH, with a very high correlation between predicted and observed values for individual samples (r²=0.768 for MPH, r²=0.738 for BPH). Three new hybrid combinations were produced, between the maternal parent Landsberg er ms1 and accessions Shakdara, Kas-1 and Ll-0. These were grown, in a “blind” experiment, under the same environmental conditions as the training set for the model, heterosis for fresh weight was measured and the transcriptomes analysed. The transcript abundance data for the 70 genes of the model were extracted for each of the new hybrids and entered into the heterosis prediction model. The results, as summarised below, confirmed that the model produced excellent quantitative predictions of heterosis, particularly MPH, confirming that transcriptome-level events were, indeed, predominant in the manifestation of heterosis.

Prediction of Heterosis Using a Model Based on Hybrid Transcriptome Data

Mid-Parent Best-Parent Heterosis % Heterosis % Hybrid Predicted Observed Predicted Observed Landsberg er ms1 × 43 34 15 22 Shakdara Landsberg er ms1 × 46 57 16 24 Kas-1 Landsberg er ms1 × 66 69 33 67 Ll-0

Mid parent heterosis for fresh weight is presented as a percentage figure calculated as (weight of the hybrid−mean weight of the parents)/mean weight of the parents.

Best parent heterosis for fresh weight is presented as a percentage figure calculated as (weight of the hybrid−weight of the heaviest parent)/weight of the heaviest parent.

Example 2a Highly Significant and Specific Correlation Between Heterosis and Transcript Abundance of At1g67500 and At5g45500 in Hybrids

In a further experiment to identify specific genes that show transcript abundance (gene expression) patterns in hybrids correlated with heterosis, we conducted an additional analysis based upon linear regression. For this we used a “training” dataset consisting of hybrid combinations between Landsberg er ms1 and Ct-1, Cvi-0, Ga-0, Gy-0, Kondara, Mz-0, Nok-3, Ts-5, Wt-5, Br-0, Col-0 and Sorbo. For each individual gene represented on the array, the transcript abundance in hybrids was regressed on the magnitude of heterosis exhibited by those hybrids. Twenty one genes showed highly significant (p<0.001) correlation, but this is no more than is expected by chance, as data for almost 23,000 genes were analysed. However, the exceptionally high significance for the two genes showing the greatest correlation (r²=0.457, P=6.0×10⁻⁶ for gene At1g67500; r²=0.453, P=6.9×10⁻⁶ for gene At5g45500) is highly unlikely to have occurred by chance. In both cases the correlation was negative, i.e. expression is lower in more strongly heterotic hybrids.

We tested whether the expression characteristics of these genes could be used for the prediction of heterosis. This was conducted by removing one hybrid from the dataset, formulating the regression line and using this relationship to predict the expected heterosis corresponding to the gene expression measured for the hybrid that had been removed. The analysis was repeated by the removal and prediction of heterosis in each of the 12 hybrids in turn. Three untested hybrids were developed (Landsberg er ms1 crossed with Ll-0, Kas-1 and Shakdara) as a “test” dataset, grown and assessed for heterosis as for the lines of the training dataset, and their transcriptomes analysed using ATH1 GeneChips. Using formulae derived by regression using all 12 hybrids in the training dataset, the expression data for genes At1g67500 and At5g45500 in the hybrids of the test dataset were used to predict the heterosis in these test hybrids. Both showed very high correlation between predicted and measured heterosis. Overall, predicted heterosis based on the expression of At1g67500 are better correlated with measured heterosis (r²=0.708) than those based on the expression of At5g45500 (r²=0.594). However, removal of one anomalous prediction in the training dataset (that of the heterosis shown by the hybrid Landsberg er ms1×Nok-3) improves the latter to r²=0.773. Nevertheless, the predictions of heterosis in all three hybrids of the test dataset based on the expression of At5g45500, in particular, are remarkably accurate.

Hybrids that show greater heterosis tend to be heavier than hybrids that show little heterosis. As expected, we identified such a correlation between the magnitude of heterosis we measured and weight for the 15 hybrids of our training and test datasets (r²=0.492). In order to assess whether the expression of genes At1g67500 and At5g45500 are specifically predicting heterosis, we assessed the possibility of correlation between gene expression and the weight of the plants in which expression is being measured. For this, we used the plant weight and gene expression data from the 12 parental lines in the training dataset. We found the expression of At1g67500 to show weak negative correlation with the weight of the plants (r²=0.321), but there was no correlation for At5g45500 (r²<0.001). We conclude that the transcript abundance of At5g45500 is indicative specifically of heterosis, but that of At1g67500 is likely to be influenced also by the weight of hybrid plants. This conclusion is consistent with the errors in prediction of heterosis in the test dataset using the expression of At1g67500: the prediction of heterosis in the hybrid Landsberg er ms1×Kas-1 (which is unusually heavy for the heterosis it shows) is over-estimated, whereas the prediction of heterosis in the hybrid Landsberg er ms1×Ll-0 (which is unusually light for the heterosis it shows) is underestimated.

Gene At5g45500 is annotated as encoding “unknown protein”, so its functions in the process of heterosis cannot be deduced based upon homology. The function of gene At1g67500 is known: it encodes the catalytic subunit of DNA polymerase zeta and the locus has been named AtREV3 due to the homology of the corresponding protein with that of yeast REV3 [67]. REV3 is important in resistance to UV-B and other stresses that result in DNA damage as its function is in translesion synthesis, which is required to repair forms of damage to DNA that blocks replication. Studies have shown no differential expression for At1g67500 in response to UV-B or other stresses [68]. However, the expression of At5g45500 is increased in aerial parts that were subjected to UV-B, genotoxic and osmotic stresses [68]. Thus both of the genes with expression correlated with heterosis in hybrid plants have potential roles in stress resistance. As the expressions of both are negatively correlated with heterosis, one hypothesis is that greater expression of these genes might be related to increased resilience to specific stresses, but this has a repressive effect on growth under favourable conditions. This resembles the situation where biomass and seed yield penalties were found to be associated with R-gene-mediated pathogen resistance to Pseudomonas syringae [69]. Heterosis, at least for vegetative biomass, may therefore be the consequence of genetic interactions that lead to a reduction in repression of growth, rather than direct promotion of growth.

Example 3 Transcript Abundance in Transcriptomes of Inbred Lines

We carried out separate analyses using linear regression to identify the relationship between transcript abundance in the parental lines and the strength of MPH shown by their respective hybrids with Landsberg er ms1. Significance levels were determined as F statistics from the regression Mean Square in the analysis of variance tables of the linear regression analysis.

In total, 272 genes were identified that showed highly significant (F<0.00) regressions of transcript abundance in the parent on the magnitude of MPH. See Table 2 below. Based on gene ontology information, there are no obvious functional relationships between these genes and no excess representation of genes involved in transcription.

The invention permits use of transcriptome characteristics of inbred lines as “markers” to predict the magnitude of heterosis in new hybrid combinations.

We built mathematical models, using the equations of the linear regression lines for each of the genes, to calculate the expected heterosis. These models operate as programmes within the Genstat statistical analysis package [70]. The results, as summarised in the table below, confirmed that the model successfully predicted the heterosis observed in the untested combinations using transcriptome characteristics of the inbred parents as markers.

Prediction of Heterosis Using a Model Based on Parental Transcriptome Data

Mid-Parent Heterosis % (44) Hybrid Predicted Observed Landsberg er ms1 × 34 34 Shakdara Landsberg er ms1 × Kas-1 46 57 Landsberg er ms1 × Ll-0 50 69

Example 3a Highly Significant Correlation Between Heterosis and Transcript Abundance of At3g11220 in Inbred Parents

We conducted an additional analysis based upon linear regression to identify genes that show expression patterns in inbred parents correlated with heterosis shown by the hybrids. For each individual gene represented on the array, transcript abundance in paternal parent lines was regressed on the magnitude of heterosis exhibited by the corresponding hybrids with accession Landsberg er ms1 in the training dataset.

The expression of one gene, At3g11220, showed an exceptionally high correlation (r²=0.649; P=2.7×10⁻⁸). The correlation was negative, i.e. expression is lower in parental lines that produce more strongly heterotic hybrids. We assessed the utility of using the expression of this gene in parental lines to predict the heterosis that would be shown by the corresponding hybrids with accession Landsberg er ms1. This was conducted for both training and test datasets, as for the predictions based on the expression of At1g67500 and At5g45500 in hybrids. The heterosis predicted was well correlated with the measured heterosis (r²=0.719) and the predicted values for two of the three hybrids in the test dataset were very accurate. However, heterosis was substantially overestimated for the hybrid Landsberg er ms1×Kas-1, despite there being no correlation between the expression of At3g11220 in parental accessions and the weight of those accessions (r²<0.001).

Gene At3g11220 is annotated as encoding “unknown protein”, so its function in the process of heterosis cannot be deduced based upon homology.

Example 4 Transcriptome Analysis for Prediction of Other Traits

We used the methodology as described for the prediction of heterosis using parental transcriptome data to develop models for the prediction of additional traits in accessions. The transcriptome data set used for the construction of the models was that obtained for 11 accessions: Br-0, Kondara, Mz-0, Ag-0, Ct-1, Gy-0, Columbia, Wt-1, Cvi-0, Ts-5 and Nok3, as previously described. Trait data had previously been obtained from these, and accessions Ga-0 and Sorbo. Transcriptome data from accessions Ga-0 and Sorbo were used for trait prediction in these accessions. The lists of genes incorporated into the models relating to the 15 measured traits are listed in Tables 3 to 17. The predicted trait values for Ga-0 and Sorbo were compared with measured trait values for these accessions, to assess the performance of the models.

As the models developed for the prediction of additional traits were developed using only 11 accessions, we expected them to contain some false components. These would tend to shift trait predictions towards the average value of the trait across the set of accessions used for the construction of the models. Therefore, our criterion for success of each model was whether or not it ranked the accessions Ga-0 and Sorbo correctly. The results, as summarised in Table 18, show that the models were able to successfully predict flowering time, seed oil content and seed fatty acid ratios. As expected, the values produced by the models were between the measured value for the trait in the respective accessions and the average value of the trait across all accessions. Only the models to predict the absolute seed content of a subset of specific fatty acids were unsuccessful. This lack of success in the experiment we conducted may have been due to the relative lack of precision of the data for these traits and/or insufficient numbers of genes with transcript abundance correlated with the trait to overcome the effects of false components in the models developed using the data sets available at the time. We believe that models based on more extensive data sets would be able to successfully predict these traits.

The ability to use transcriptome data from an early stage of plant growth under specific environmental conditions (i.e. aerial parts of vegetative-phase plants after 3 weeks growth in a controlled environment room under 8 hour photoperiod) to predict characteristics that appear later in the development of plants grown in different environmental conditions (flowering time, details of seed composition and vernalisation responses of plants grown in a glasshouse under 16 hour photoperiod) is remarkable. We interpret this as evidence of extensive interconnection and multiplicity of gene function, regulated, as for heterosis, largely at the level of transcript abundance. The results presented here indicate that our methodology will allow the use of specific characteristics of the transcriptomes of organisms, including both plants and animals, early in their life cycle as “markers” to predict many complex traits later in their life cycle, and to increase our understanding of the underlying biological processes.

Example 5 Methods and Materials Accessions Used

The accessions used for the studies underlying this disclosure were obtained from the Nottingham Arabidopsis Stock Centre (NASC): Kondara, Cvi-0, Sorbo, Ag-0, Br-0, Col-0, Ct-1, Ga-0, Gy-0, Mz-0, Nok-3, Ts-5, Wt-5 (catalogue numbers N916, N902, N931, N936, N994, N1092, N194, N1180, N1216, N1382, N1404, N1558 and N1612, respectively). A male sterile mutant of Landsberg erecta (Ler ms1) was also obtained from NASC (catalogue number N75).

Growth Conditions

Seeds of parental accessions and hybrids were sown into pots containing A. thaliana soil mix (as described in O'Neill et al [71]) and Intercept (Intercept 5GR). The pot was then watered, and sealed to retain moisture, before being placed at 4° C. for 6 weeks to partially normalize flowering time. At the end of this time period the pot was placed in a controlled environment room (heated at 22° C. and lit for 8 hours per day). Gradually the seal was removed in order to acclimatise the plants to the reduced air moisture. When the first true leaves appeared the plants were transplanted to individual pots, which were again sealed and returned to the controlled environment rooms. Again the seal was gradually removed over the next few days. The positions of A. thaliana plants in controlled environment rooms was determined using a complete randomised block design, with the trays of plants being regularly rotated and moved in order to reduce environmental effects.

The Production of Hybrid Seeds

Hybrids were produced by crossing accessions Kondara and Br-0 by selecting a raceme of the maternal plant, removing all branches and siliques, leaving only the inflorescence. All immature and open buds were removed, along with the apical meristem, leaving 5-6 mature closed buds. From these buds the sepals, petals, and stamens were removed leaving only a complete pistil. For crosses involving Ler ms1 as the maternal parent, only enough tissue was removed, from unopened buds, to allow access to the stigma. Buds of all plants were then pollinated by removing a stamen from the pollen donor plant, and rubbing the anther against the stigma. This was repeated until the stigma was well coated with pollen when viewed under the microscope. The pollinated buds were then protected from additional pollination by being enclosed in a ‘bubble’ of Clingfilm, which was removed after 2-3 days.

Trait Measurements

The total aerial fresh weight of the plants was determined by cutting off all above soil plant material, quickly removing any soil attached, and weighing on electronic scales (Ohaus Corp. New. Jersey. USA). The plant material was then frozen in liquid nitrogen. All plant harvesting and weight measurements were taken as close as practicable to the middle of the photoperiod. Where trait data were combined for replicate sets of plants grown at different time, the data were weighted to correct for differences in absolute growth rates between the replicates caused by environmental effects. The mean weight for each of the 14 parent accessions and 13 hybrids was calculated for each of the three growth replicates. These were then normalised to the first replicate mean, to take account of any between-occasion variation in the growth conditions. This was done by dividing each replicate mean by the first replicate mean and then multiplying by itself (for example [a/b]*b) in order to obtain the adjusted mean.

RNA Extraction and Hybridisation

200 mg of plant tissue were ground to a fine powder using liquid nitrogen in a baked pre-cooled mortar, and using a chilled spatula, transferred to labelled chilled 1.5 ml tube. To these tubes 1 ml of TRI Reagent (Sigma-Aldrich, Saint Louis USA) was added, then shaken to suspend the tissue. After a 5 minute incubation at room temperature 0.2 ml of chloroform was added, and thoroughly mixed with the TRI Reagent by inverting the tubes for around 15 seconds, followed by 2-3 minutes incubation at room temperature. The tubes were centrifuged at 12000 rpm for 15 minutes and the upper aqueous phase transferred to a clean, labelled tube. 0.5 ml of isopropanol was then added to the tubes, which were inverted repeatedly for 30 seconds to precipitate the RNA, followed by a10 minutes incubation at room temperature. The tubes were then were centrifuged at 12000 rpm for 10 minutes at 4° C., revealing a white pellet on the side of the tube. The supernatant was poured off of the pellet, and the lip of the tube gently blotted with tissue paper. 1 ml 75% ethanol was added and the tubes shaken to detach the pellet from the side of the tube, followed by centrifugation at 7500 rpm for 5 minutes. Again the supernatant was poured off of the pellet, which was quickly spun down again and any remaining liquid removed using a pipette. The pellet was then dried in a laminar flow hood, before 50 μl DEPC treated water (Severn Biotech Ltd. Kidderminster, UK) was added to dissolve the pellet.

Sample concentrations were determined using an Eppendorf BioPhotometer (Eppendorf UK Limited. Cambridge. UK), and RNA quality was determined by running out 111 on a 1% agarose gel for 1 hour. RNA from replicated plants were then pooled according concentration in order to ensure an equal contribution of each replicate.

The pooled samples were then cleaned using Qiagen Rneasy columns (Qiagen Sciences. Maryland. USA) following the protocol on page 79 of the Rneasy Mini Handbook (06/2001), before again determining the concentrations using an Eppendorf BioPhotometer, and running out 111 on a 1% agarose gel.

Affymetrix GeneChip array hybridisation was carried out at the John Innes Genome Lab (http://www.jicgenomelab.co.uk). All protocols described can be found in the Affymetrix Expression Analysis Technical Manual II (Affymetrix Manual II http://www.affymetrix.com/support/technical/manual.affx.)

Following clean up, RNA samples, with a minimum concentration of 1 μg, μl-1, were assessed by running 1 μl of each RNA sample on Agilent RNA6000 nano LabChips® (Agilent Technology 2100 Bioanalyzer Version A.01.20 SI211). First strand cDNA synthesis was performed according to the Affymetrix Manual II, using 10 μg of total RNA. Second strand cDNA synthesis was performed according to the Affymetrix Manual II with the following minor modifications: cDNA termini were not blunt ended and the reaction was not terminated using EDTA. Instead Double-stranded cDNA products were immediately purified following the “Cleanup of Double-Stranded cDNA” protocol (Affymetrix Manual II). cDNA was resuspended in 22 μl of RNase free water.

cRNA production was performed according to the Affymetrix Manual II with the following modifications: 11 μl of cDNA was used as a template to produce biotinylated cRNA using half the recommended volumes of the ENZO BioArray High Yield RNA Transcript Labelling Kit. Labelled cRNAs were purified following the “Cleanup and Quantification of Biotin-Labelled cRNA” protocol (Affymetrix Manual II). cRNA quality was assessed by on Agilent RNA6000 nano LabChips® (Agilent Technology 2100 Bioanalyzer Version A.01.20 SI211). 20 μg of cRNA was fragmented according to the Affymetrix Manual II.

High-density oligonucleotide arrays (either Arabidopsis ATH1 arrays, or AT Genomel arrays, Affymetrix, Santa Clara, Calif.) were used for gene expression detection. Hybridisation overnight at 45° C. and 60 RPM (Hybridisation Oven 640), washing and staining (GeneChip® Fluidics Station 450, using the EukGEws2_(—)450 Antibody amplification protocol) and scanning (GeneArray® 2500) was carried out according to the Affymetrix Manual II.

Microarray suite 5.0 (Affymetrix) was used for image analysis and to determine probe signal levels. The average intensity of all probe sets was used for normalization and scaled to 100 in the absolute analysis for each probe array. Data from MAS 5.0 was analysed in GeneSpring® software version 5.1 (Silicon Genetics, Redwood City, Calif.).

Identification of Genes with Non-Additive Transcript Abundance in Hybrids

Analysis of the normalised transcript abundance data was performed using GenStat [70]. This was undertaken using a script of directives programmed in the GenStat command language (see below), and used to identify the set of defined patterns of transcript abundance. Briefly, each hybrid transcript abundance data set was compared to its appropriate parental data sets, for each gene, for each of the particular expression patterns of interest. Those genes showing a particular pattern in each data set were given a test value. Once completed all of these values were added together and only those data sets with a combined test value equal to a given a critical value (equivalent to the value if all data sets displayed that pattern) were counted. Once this had been completed for the experimental data, the results were checked by hand against the source data.

Program 1 below is an example of the pattern recognition programme. This example identifies patterns in the KoBr hybrid and its parents, for three replicates of each at the two-fold threshold criteria.

Permutation Analysis to Calculate Expected Values for Non-Additive Transcript Abundance in Hybrids

Due to the relatively limited replication within the experiment and the large number of genes assayed on the GeneChips it is expected that a proportion of the genes displaying defined patterns will have occurred by chance. It is therefore essential to use appropriate statistical analysis of the data to determine the significance of the results. In order to determine this, random permutation analysis (bootstrapping) was used to generate expected values for random occurrences of defined abundance patterns of the data. Pseudoreplicate data sets were generated by randomly sampling the original data within individual arrays, and using a rotating ‘seed number’ in order to create random data sets of the same size, and variance, as the original. The same pattern recognition directives were then used for this random data set as were used on the original data and the resulting numbers of probes were recorded.

In order to get a statistically significant number of randomized replicates, this randomization and analysis of the data was repeated 250 times. The average numbers of probes identified for each pattern were then used as the value that would be expected to arise by random chance for that pattern. It was determined that 250 cycles was a sufficiently large random data set, for this experiment by comparing the expected random averages of the defined patterns at 1.5 fold, at 50 cycles and at 250 cycles. Comparisons between higher numbers of cycles (500-1000 cycles) exhibited very little difference between the means except that the longer runs served to reduce the standard errors. A Wilcoxon matched-pairs two-tailed t-test on the means of the two repetition levels (50 cycles and 250 cycles) gave a P-value of 0.674, suggesting very strongly that the means are not statistically different from each other. Based on this it was assumed that the average random values will not change significantly with increased replication, and that 250 cycles is a significantly large number of replicates to generate this mean random value in this case.

Program 2 below is an example of the bootstrapping programme. This example bootstraps the KoBr hybrid at the two-fold threshold criteria, for 250 repetitions.

Chi2 Tests for Significance of Transcriptome Remodelling

Fold changes in themselves are not statistical tests, and cannot be used alone to designate a confidence level of the reported differences in expression. The average numbers of probes identified for each pattern after permutation analysis represent the number expected to arise by random chance for that pattern. Once this expected value has been determined it can be used in a maximum likelihood Chi square test, under the null hypothesis of no difference between observed and expected, in order to determine whether the observed patterns differ significantly from random chance. This was undertaken using the “Chi-Square goodness of fit” option of GenStat, and testing the difference between the mean number of genes observed fitting a given expression pattern, and the mean number of genes expected to fit that same pattern (as calculated above), with a single degree of freedom. Significant relationships, fitting the alternative hypotheses of significant differences between the two mean values, were considered to be those exhibiting P values of 0.05 or less.

Normalisation of Transcriptome Remodelling

Transcriptome remodelling was calculated, normalised for the divergence of the transcriptomes of the parental accessions, using the equation:

NT=R _(T)/(R _(p) /R _(pm))

Where NT=normalised level of transcriptome remodelling of a cross R_(T)=total number of genes summed across all 6 classes indicative of remodelling for the specific hybrid, at the appropriate fold-level R_(p)=total number of genes with transcript abundance differing between the parental accessions of the specific hybrid, at the appropriate fold-level. R_(pm)=Mean number of genes with transcript abundance differing between the parental accessions across all combinations analysed, at the appropriate fold-level.

Estimation of Relative Genetic Distance

In order to develop a measure of the Relative Genetic Distance (RGD) between accession Ler and the 13 accessions crossed with it to produce hybrids the following method was used. A set of 216 loci were selected that were polymorphic for the 14 main accessions studied in this thesis. These were downloaded from the web site of the NSF 2010 project DEB-0115062 (http://walnut.usc.edu/2010/). Loci were selected to cover the genome by defining 500 kb intervals throughout the genome, starting at base pair 1 on each chromosome, and selecting the polymorphic locus with the lowest base pair coordinate that has a complete set of sequence data for all 14 accessions, if any, in each interval. The number of polymorphisms across these 216 loci between each accession and Ler were determined and normalised relative to the polymorphism rate observed between Ler and Columbia (with 45 polymorphisms, the most similar to Ler) to give the RGD.

Regression Analysis to Identify Genes with Transcript Abundance in Hybrid Lines Correlated with the Strength of Heterosis

In order to identify genes showing a significant linear relationship between strength of heterosis and transcript abundance in hybrid lines, regression analysis was undertaken using a script of directives programmed in the GenStat command language. This programme conducted a linear regression, for the transcript abundance of each probe, against the phenotypic value for 32 GeneChips. There were three replicate GeneChips for each of the hybrids LaAg, LaCt, LaCv, LaGy, LaKo, and LaMz, and two replicates each for LaBr, LaCo, LaGa, LaNo, LaSo, LaTs, and LaWt, each representing the pooled RNA of three individual hybrid plants. The results of these regressions were presented as F-values. Once this had been completed for the experimental data, significant results were checked by hand against the source data.

Program 3 below is an example of the linear regression programme. This example identifies linear regressions between the hybrid transcriptome and MPH.

Once this had been completed for the transcription data, permutation analysis was used to determine how often particular regression line would arise by random chance. The data was randomised within individual arrays, using a rotating ‘seed number’ and the regression analyses were repeated for this random data, using the same directives used for the original data. In order to get a statistically significant number of random replicates, this randomisation and analysis of the data was repeated 1000 times. Following this, the 1000 regression values for each gene were ranked according to the probability of a relationship between the phenotypic values and random expression values, and the F values of the first, tenth and fiftieth values (corresponding to the 0.1%, 1% and 5% significance values) were recorded. The probabilities of the actual and randomised samples were then compared and only those genes where the probability of occurring randomly is less than in the actual data at one of the three significance values were counted as showing a significant relationship.

Program 4 below is an example of the linear regression bootstrapping programme. This example randomises linear regressions between the hybrid transcriptome and MPH. Due to the size of the outputs, the files are saved into intermediary files that can be read by the computer but not opened visually. Program 5 below is an example of the programme written to extract the significant values out of the bootstrapping intermediary data files, into a file that can be manipulated in excel. Again this example handles linear regression data between the hybrid transcriptome and MPH. Regression Analysis to Identify Genes with Transcript Abundance in Parental Lines Correlated with the Strength Of Heterosis

In order to identify genes showing a significant linear relationship between strength of heterosis and transcript abundance in parental lines, regression analysis was undertaken as described for the identification of genes with transcript abundance in hybrids correlated with the strength of heterosis.

Example 6 A Transcriptomic Approach to Modelling and Prediction of Hybrid Vigour and Other Complex Traits in Maize Modelling and Prediction of Heterosis in Maize

The experimental design uses a series of 15 different hybrid maize lines, all with line B73 as the maternal parent. The hybrids and parental lines were grown in replicated trials at three locations (two in North Carolina and one in Missouri) in 2005, and data were collected for heterosis and a range of other traits, as listed below. All 31 lines (15 hybrids and 16 parents) were grown for 3 weeks and aerial tissues cut, weighed and frozen in liquid nitrogen. RNA was prepared and Affymetrix maize GeneChips were used to analyse the transcriptome in 2 replicates of each. The methods successfully developed in Arabidopsis, as described above, were used to (i) identify genes with transcript abundance correlated with the magnitude of heterosis, (ii) develop predictive models using the transcriptome data from 12 or 13 hybrids and the corresponding parents and (iii) test the ability of the models to “predict” the performance of additional hybrids, based only upon their transcriptome characteristics.

Genes whose transcript abundance was shown to correlate with heterosis in maize are shown in Table 19. Heterosis was calculated for plant height, for plants at CLY location (Clayton, N.C.) only (model from 13 hybrids).

These data were used to develop a model for prediction of heterosis in two further hybrids. All of the genes used in producing the calibration line were have been used in the prediction, both for the model development and the further “test” plants.

Prediction of Heterosis for Plant Height, CLY Location Only (Model from 13 Hybrids to Predict 2):

MPH PH CLY Location Hybrids CLY B73 × Ki3 B73 × OH43 Actual 149.19 134.88 Value Predicted 144.59 141.45 No. of correlated 370 genes:

The same procedures can be used to develop predictive models for each of the additional traits for which complete data sets are available. For maize, the data from 14 inbred lines (used as parents of the hybrids described above) can be used to develop models for prediction of traits in further inbred lines.

The following traits may be measured in maize: yield; grain moisture; plant height; flowering time; ear height; ear length; ear diameter; cob diameter; seed length; seed width; 50 kernel weight; 50 kernel volume.

Genes with transcript abundance correlating with yield, measured as harvestable product, are shown in Table 20. Average yield was calculated for 12 plants across 2 sites, MO and L.

These genes were used to develop a model for prediction of yield in three further hybrids. All of the genes used in producing the calibration line were have been used in the prediction, both for the model development and the further “test” plants.

Rank order of yield was successfully predicted in these hybrids, and the magnitude was accurate for 2 out of the 3 hybrids, shown below. With improved trait data, accurate predictions would be expected for all hybrids.

Prediction of Average Yield Across 2 Sites, MO and L (Model from 12 Hybrids to Predict 3)

Weight Mo&L Location Hybrids MO & L B73 × B73 × CML247 B73 × Mo18W M37W Actual 9.70 11.87 11.81 Value Predicted 9.63 11.38 10.90 No. of correlated 419 genes:

Example 6a Prediction of Plot Yield in Maize Hybrids Using Parental Transcriptome Data

We used linear regression to identify genes for which expression levels in a training dataset of 20 genetically diverse inbred lines (B97, CML52, CML69, CML228, CML247, CML277, CML322, CML333, IL14H, Ki11, Ky21, M37W, Mo17, Mo18W, NC350, NC358, Oh43, P39, Tx303, Tzi8) was correlated with the plot yield of the corresponding hybrids with line B73. Pedigrees and phylogenetic grouping 72 of the maize lines used in our studies are summarised in Table 21.

Using a stringent cut-off for significance (P<0.00001), correlations (0.288<r²<0.648) were identified for 186 genes. These are listed in Table 22. In the majority of cases (129), gene expression in the inbred lines was negatively correlated with yield of the hybrids. We were able to discount the possibility that these correlations were artefacts of differing proportions of cell types in different sizes of plants, which may have arisen if the sizes of the inbred seedlings were indicative of the performance of the corresponding hybrids, as we found no correlation between plot yield and either the weight (r²=0.039) or the height (r²=0.001) of the sampled seedlings of the corresponding parental lines.

To assess whether gene expression characteristics may be used successfully for the prediction of yield, each hybrid in turn was removed from the training dataset and models developed based upon a regression conducted with the remaining lines. This was conducted as for A. thaliana, except that the mean of the predictions for all of the genes with highly significant correlation (P<0.00001) was used as the overall prediction of heterosis for the excluded line. The numbers of genes exceeding this significance threshold varied from 84 (with P39 excluded) to 262 (with NC350 excluded). Gene expression data for a test dataset of four additional inbred lines (CML103, Hp301, Ki3, OH7B) was then used to predict the heterosis that would be shown by the corresponding hybrids with B73, by averaging the predictions from each of the 186 genes identified by regression analysis using the complete training dataset. The results showed that the predicted plot yield is strongly correlated with the measured plot yield (r²=0.707), demonstrating that gene expression characteristics can, indeed, be used for the prediction of heterosis, as quantified by yield. Although the relationship was non-linear, with reduced ability to quantitatively predict yields at the higher end of the range studied, the method was able to correctly resolve the two highest yielding hybrids in the test dataset from the two lowest yielding hybrids. The poor yield performance of hybrids including the popcorn (HP301) and the two sweet corns (IL14H and P39) were correctly predicted, but the exceptionally high yield of the hybrid NC350×B73 was not predicted. We conclude that maternal effects are minor, as the analysis was based on a mixture of crosses with B73 as the maternal parent (15 hybrids) and as the paternal parent (9 hybrids).

Growth and Trait Analysis of Maize Plants

Plants used for transcriptome analysis were grown from seeds for 2 weeks. Maize seeds were first imbibed in distilled water for 2 days in glasshouse conditions to break dormancy, before transfer to peat and sand P7 pots. They were grown in long day glass house conditions (16 hours photoperiod) at 22° C. Aerial parts above the coleoptiles were excised, weighed and frozen in liquid nitrogen. All plant harvesting and weight measurements were taken as close as practicable to the middle of the photoperiod. Plants for yield trials were grown in field conditions in Clayton, N.C. in 2005. Forty plants of each hybrid were grown in duplicate 0.0007 hectare plots. Yield was calculated as pounds of grain harvested per plot, corrected to 15% moisture, as shown in Table 23.

Example 7 A Transcriptomic Approach to Modelling and Prediction of Hybrid Vigour and Other Complex Traits in Oilseed Rape Modelling and Prediction of Heterosis in Oilseed Rape

The experimental design uses a series of 14 different hybrid oilseed rape restorer lines, all with line MSL 007 C (which is a male sterile winter line and has been used for commercial hybrid production) as the maternal parent. The hybrids and parental lines were grown in Hohenlieth and Hovedissen in Germany and Wuhan in China in 2004/5, and data for heterosis and a range of other traits, as listed below, were collected. All 29 lines (14 hybrids and 15 parents) are grown for 3 weeks and aerial tissues cut, weighed and frozen in liquid nitrogen. RNA is prepared and Affymetrix Brassica GeneChips are used to analyse the transcriptome in 3 replicates of each. The methods successfully developed in Arabidopsis are used to (i) identify genes with transcript abundance correlated with the magnitude of heterosis, (ii) predictive models are developed using the transcriptome data from 12 hybrids and the corresponding parents and (iii) the ability of the models to “predict” the performance of the 2 additional hybrids, based only upon their transcriptome characteristics, is demonstrated.

Traits measured in oilseed rape: Seed yield, seed weight, seed oil content, seed protein content; seed glucosinolates; establishment; Winter hardiness; Spring development; flowering time; plant height; standing ability.

Modelling and Prediction of Additional Traits

Upon completion of heterosis modelling, the same procedures are used to develop predictive models for each of the additional traits for which complete data sets are available. For oilseed rape, the data from 12 inbred lines (used as parents of the hybrids described above) is used to develop models, which is used to “predict” the traits in 2 further inbred lines. The performance of the models is validated.

Example 8 Further Data Modelling Techniques Improvement of the Models

The models developed in Arabidopsis utilize linear regression approaches. However, non-linear approaches may enable the identification of more comprehensive gene sets and, hence, more precise models. Non-linear approaches are therefore incorporated into the model development protocols. Additional opportunities for refinement include weighting of the contribution of individual genes and data transformations.

Development of Reduced Representation Models

Although approaches based on the use of GeneChips or microarrays may continue to be the preferred analytical platform for commercialization, there are other methods available for the quantitative determination of transcript abundance. Quantitative PCR methods can be reliable and are amenable to some automation. However, when such approaches are to be used, it is desirable to identify a subset of genes (ideally under 10) that retain most of the predictive power of the sets of genes used to date in the models (70 for prediction of heterosis based on hybrid transcriptomes, typically >150 for prediction of heterosis or other traits based on inbred transcriptomes). Therefore, a limited set of genes is identified by iterative testing of the precision of predictions by progressively reducing the numbers of genes in the models, preferentially retaining those with the best correlation of transcript abundance with the trait.

Example 9 Standard Operating Instruction for the Analysis of Gene Expression Data

This section provides detailed guidance for development and use of predictive models using the program GenStat [70].

List of Programmes

The following GenStat programmes may be used in accordance with the invention and are suitable for analysing any Affymetrix based expression data.

GenStat Programme 1˜Basic Regression Programme˜Method 4 GenStat Programme 2˜Basic Prediction Regression Programme˜Method 5 GenStat Programme 3˜Prediction Extraction Programme˜Method 5 GenStat Programme 4˜Basic Best Predictor Programme˜Method 7 GenStat Programme 5˜Basic Linear Regression Bootstrapping Programme˜Method 9 GenStat Programme 6˜Basic Linear Regression Bootstrapping Data Extraction Programme˜Method 9 GenStat Programme 7˜Basic Transcriptome Remodelling Programme˜Method 10 GenStat Programme 8˜Dominance Pattern Programme˜Method 11 GenStat Programme 9˜Dominance Permutation Programme˜Method 11 GenStat Programme 10˜Transcriptome Remodelling Bootstrap Programme˜Method 12 Introduction

These standard operating procedures are designed to enable the undertaking of gene expression analysis studies, from RNA extraction through to advanced prediction.

The procedures are divided into 4 workflows, depending on the type of analyses you wish to undertake. See FIG. 1.

Workflow a) follows the basic first steps, common to all analyses (methods 1-3), to the stage of predicting traits based upon transcription profiles.

Workflow b) follows the recommended analysis procedure (based on the latest analysis developments). It culminates in the prediction of traits based on a subset of best predictor genes.

Workflow c) follows an alternative analysis procedure, used to generate the prediction reported in my thesis, and includes a bootstrapping step.

Workflow d) describes to methods for analysing the degree of transcriptome remodelling between hybrids and their parent lines.

All of these workflows are designed to be ‘worked through’ and contain step-by-step instruction on how to complete the analysis.

a) Standard Protocols Method 1, Extract RNA

This stage results in the production of good quality total RNA at a concentration of between 0.2-1 μg μl⁻¹ for hybridisation to Affymetrix GeneChips. These methods are the same for both Arabidopsis and Maize chips, for other species, contact Affymetrix for their recommended methods.

1.1 Trizol RNA Extraction

200 mg of plant tissue were ground to a fine powder using liquid nitrogen in a baked pre-cooled mortar, and using a chilled spatula, transferred to labelled chilled capped tube. To these tubes 1 ml of TRI REAGENT (Sigma-Aldrich, Saint-Louis USA) was added and shaken to suspend the tissue. After a 5 minute incubation at room temperature 0.2 ml of chloroform was added, and thoroughly mixed with the TRI REAGENT by inverting the tubes for around 15 seconds, followed by 2-3 minutes incubation at room temperature. The tubes were centrifuged at 12000 rpm for 15 minutes and the upper aqueous phase transferred to a clean, labelled tube.

0.5 ml of isopropanol was then added to the tubes, which were inverted repeatedly for 30 seconds to precipitate the RNA, followed by 10 minutes incubation at room temperature. The tubes were then centrifuged at 12000 rpm for 10 minutes at 4° C., revealing a white pellet on the side of the tube. The supernatant was poured off the pellet, and the lip of the tube gently blotted with tissue paper. 1 ml 75% ethanol was added and the tubes shaken to detach the pellet from the side of the tube, followed by centrifugation at 7500 rpm for 5 minutes. Again the supernatant was poured off the pellet, which was quickly spun down again and any remaining liquid removed using a pipette. The pellet was then dried in a laminar flow-hood; before 50 μl DEPC treated water (Severn Biotech Ltd. Kidderminster, UK) was added to dissolve the pellet.

1.2 RNA Clean-Up

RNA samples were cleaned up using RNeasy® mini columns (Qiagen Ltd, Crawly, UK), according to the protocol given in the RNeasy® Mini Handbook (3^(rd) edition 06/2001 pages 79-81). Due to the maximum binding capacity, no more than 100 μg of RNA could be loaded on to each column. In order to obtain as high a concentration as possible during the elution step, 40 μl was used and the elute run through the column twice. This was followed by a second 40 μl volume of DEPC treated water in order to remove any remaining RNA, which could be used to increase the amount of clean RNA available, should further concentration be required.

1.3 Concentration of RNA Samples

If the concentration of the clean RNA was less than 1 μg μl⁻¹ a further precipitation and dissolution can be performed using an Affymetrix recommended method which can be found in the Affymetrix Expression Analysis Technical Manual II (http://www.affymetrix.com/support/technical/manuals.affx).

5 μl 3 M NaOAc, pH 5.2 (or one tenth of the volume of the RNA sample) was added to the RNA sample requiring concentrating, together with 250 μl of 100% ethanol (or two and a half volumes of the RNA sample). These were mixed and incubated at −20° C. for at least 1 hour. The samples were centrifuged at 12000 rpm in a micro-centrifuge (MSE, Montana, USA) for 20 minutes at 4° C., and the supernatant poured off leaving a white pellet. This pellet was washed twice with 80% ethanol (made up with DEPC treated water), and air-dried in a laminar flow hood. Finally the pellet was re-suspended in DEPC treated water, to a volume appropriate to the required concentration.

Method 2, RNA Hybridisation 2.1 Hybridisation to GeneChips

Affymetrix GeneChip array hybridisation was carried out at the John Innes Genome Lab (http://www.jicgenomelab.co.uk). All protocols described can be found in the Affymetrix Expression Analysis Technical Manual II (Affymetrix Manual II http://www.affymetrix.com/support/technical/manuals.affx.)

Following clean up, RNA samples, with a concentration of between 0.2-1 μg, μl⁻¹, were assessed by running 1 μl of each RNA sample on Agilent RNA6000 nano LabChips® (Agilent Technology 2100 Bioanalyzer Version A.01.20 SI211). First strand cDNA synthesis was performed according to the Affymetrix Manual II, using 10 μg of total RNA. Second strand cDNA synthesis was performed according to the Affymetrix Manual II with the following minor modifications:

cDNA termini were not blunt ended and the reaction was not terminated using EDTA. Instead Double-stranded cDNA products were immediately purified following the “Cleanup of Double-Stranded cDNA” protocol (Affymetrix Manual II). cDNA was re-suspended in 22 μl of RNase free water.

cRNA production was performed according to the Affymetrix Manual II with the following modifications:

11 μl of cDNA was used as a template to produce biotinylated cRNA using half the recommended volumes of the ENZO BioArray High Yield RNA Transcript Labelling Kit. Labelled cRNAs were purified following the “Cleanup and Quantification of Biotin-Labelled cRNA” protocol (Affymetrix Manual II). cRNA quality was assessed by on Agilent RNA6000 nano LabChips® (Agilent Technology 2100 Bioanalyzer Version A.01.20 SI211). 20 μg of cRNA was fragmented according to the Affymetrix Manual II.

High-density oligonucleotide arrays were used for gene expression detection. Hybridisation overnight at 45° C. and 60 RPM (Hybridisation Oven 640), washing and staining (GeneChip® Fluidics Station 450, using the EukGEws2_(—)450 Antibody amplification protocol) and scanning (GeneArray® 2500) was carried out according to the Affymetrix Manual II.

Microarray suite 5.0 (Affymetrix) was used for image analysis and to determine probe signal levels. The average intensity of all probe sets was used for normalization and scaled to 100 in the absolute analysis for each probe array. Data from MAS 5.0 was analysed in GeneSpring® software version 5.1 (Silicon Genetics, Redwood City, Calif.).

Files were saved as .txt files, for further analysis.

Method 3, Data Loading

This section describes the methods used to load the expression data into GeneSpring, how to normalise the data, and how to save it in excel for further analysis. These instructions are best followed while carrying out the analysis. A GeneSpring course is recommended if further analysis is required using this programme.

3.1 Loading Data into GeneSpring Open GeneSpring, >File>Import data>select the first of the data files you wish to load>click Open Choose file format—Affy pivot table (Create new genome—if you don't want to go into an existing one) Select genome—Arabidopsis, Maize, etc, or create a new genome following instructions on screen Import data: selected files—select any remaining files you want to analyse Import data: sample attributes—this is where you can enter the MIAME info Import data: create experiment—yes. Save new experiment—give it a name, it will appear in the experiment folder in the navigator toolbar.

3.2 New Experiment Checklist

These 4 factors should be completed in turn, to ensure that the data is properly normalised. This will impact upon all of the subsequent analyses. Generally the defaults or recommended orders should be used.

Define Normalisations

Click on ‘use recommended order’ and check that the following is included:

Data transformation: measurements less than 0.01 to 0.01 Per chip: 50th % Per gene: normalise to median, cut off=10 in raw signal

Define Parameters

Here we define the names of the expression data. Depending upon the labelling of the expression files, changes may not be required here. If changes are required:

Click on ‘New custom’ Type the name of each sample. Delete other parameters to avoid confusion.

Save Define Default Interpretation

No changes needed for this experiment Define Error model No changes needed for this experiment

3.3 Transfer Data in to Excel

Once the data is normalised it can be transferred into an excel spreadsheet.

To do this, click on the relevant data in the experiment tree (on the far left of the main GeneSpring screen)

Click View>view as spreadsheet select all>copy all>paste into Excel spreadsheet.

Save.

This forms the master Excel chart.

Method 4, Regression Analysis

These instructions describe the basic regression method. This regression forms the basis of the subsequent prediction methods.

4.1 Create Data File

To create a data file for use in GenStat. Open the master Excel file (with normalised expression data from GeneSpring)>Copy the relevant data columns (the data for those accessions that will form the ‘training data set’ from which significant predictive genes will be selected) into a new chart>add a column of “:” at the far end>save chart as .txt file>close file

Open the text file in GenStat>Enclose any title names in speech marks (“ ”), this should have the effect of turning the titles green>Find and replace (ctrl R)* with blanks>Replace all>Save file again

4.2 Regression Programme

Open ‘basic regression programme’ (GenStat Programme 1˜Basic Regression Programme) in GenStat Check that the input data filename is correct, and is opening to channel 2 Check that the output data file is going to the correct destination and is opening to channel 3. These input and output file names should be RED Check that the phenotypic trait data are correct for the trait under investigation. Use “\” to go on to new lines, these backslashes will turn GREEN. Check that the number of genes to be investigated is set to the correct value (usually 22810 for Arabidopsis, or 17734 for Maize).

If the R², Slope, and Intercept are required remove the “ ” from the appropriate analysis section, and from the print command, both will turn BLACK from green.

4.3 Running the Programme

To run the programme, ensure that both the programme window and output windows are open (to tile horizontally Alt+Shift+F4). Select the programme window and press Ctrl+W. This will set the programme running, check that the GenStat server icon (histogram symbol, in taskbar at bottom right-hand corner of the screen) has changed colour to red.

To cancel the programme right click on the server icon and choose interrupt

Once complete the GenStat icon will change colour back to green

4.4 Analysing the Output

To analyse the data, first open it in Excel, select “delimited”>next>tick the “Tab” and “Space”>Finish Add a new row at the far left-hand side of the sheet, and label the appropriate columns “value” “Df” and “R square” “Slope” and “Intercept” if these were included in the analysis Add a new column to the beginning and label it “ID” Fill the remaining cells of the ID column with a series 1-22810 for Arabidopsis or 1-17734 for Maize (edit>fill>series>OK) Delete the column “Df” Select all of the data columns>Data>Sort>P value ascending Select all of the rows where the P value are less than or equal to 0.05. Colour these cells using the “paint” option, and record the number in this list. These are the genes significant at the 5% level Select all of the rows where the P value are less than or equal to 0.01. Colour these cells an alternative colour using the “paint” option, and record the number in this list. These are the genes significant at the 1% level Select all of the rows where the P value are less than or equal to 0.001. Colour these cells a third colour using the “paint” option, and record the number in this list. These are the genes significant at the 0.1% level These three values are the number of OBSERVED significant probes in the data set

These observed significant probes, can be used as ‘prediction probes’ for the prediction of traits in other accessions, or hybrid combinations.

Method 5, Prediction

These instructions describe the basic prediction method. All subsequent prediction methods are a variation on this.

5.1 Producing the Prediction Calibration Lines

Using the list of identified prediction probes; create a specific prediction sub-set gene list. This can be done by copying your ID and P-value columns (sorted by ID to return the data to its original order) in to a new excel sheet along with the expression data of your training line accessions. You can then sort by P-value and delete those genes that do not appear in the relevant significance (usually 0.1%) list. Remember to sort by ID again to return the file to its correct order, then delete the ID and Sig0.1% columns you added. Save this file under a new file name as a .txt file (for example trainingsetdata.txt).

Open the ‘Basic Prediction Regression Programmer’ (GenStat Programme 2)

Check that the input file is the one that you have just created Check that the output file is named correctly (calibration output file) Check that the number of genes is correct (for example the 0.1% significant genes) Check that the bin values are appropriate for the trait data. These values should cover the range of the data and a little way either side. Save the file and run the programme (Ctrl+W)

5.2 Making the Test Expression File

To make the predictions use the identified prediction probes, and the expression data of the ‘unknown lines’ for which we are making the prediction of heterosis. Using the list of identified prediction probes, create a specific prediction sub-set gene list, as was done when generating the file for the calibration curves (section 5.1). This can be done by copying your ID and P-value columns (sorted by ID to return the data to its original order) in to a new excel sheet along with the expression data of your training line accessions. You can then sort by P-value and delete those genes that do not appear in the relevant significance (usually 0.1%) list. Remember to sort by ID again to return the file to its correct order, then delete the ID and Sig0.1% columns you added. Save this file under a new file name as an Excel spread sheet.

In this file add two blank columns between each of the data columns. In the first column, next to the first unknown line's expression measurement, insert a number series from 1 to however long the list on gene measurements is. In the next column, list the identifier for those measurements (the best identifier would be the parent name, for instance Kas, B73 etc.).

In the first column next to the second data list type the command “=B2+0.0” Then copy this down the column. This will have the effect of giving a number series that is 0.01 greater than its equivalent for the first parent. In the next column, list the identifier for those measurements again

Repeat this process for any remaining parent data sets. Each number series should always be 0.01 greater than its equivalent in the previous series.

Starting with the second set of data columns, cut all of the genes, number series and identifies, and add them to the bottom of first set of data columns. Be sure to use Edit>Paste Special>Values so as not to upset your commands. Repeat this for the remaining columns. You should now have three long columns with all of the data in.

Select all of the data. Click Data>Sort>Column B (or whichever is the column with the number sequence in). After sorting, you should have all of your parental data mixed together, with all of the same genes next to each other (for example, with three parents your number sequence should read 1, 1.1, 1.2, 2, 2.1, 2.2 etc. and the identifier column should read Kas, Sha, Ll-0, Kas, Sha, Ll-0 etc. or equivalent) save the file. This is your identifier file.

Copy only the column with the expression data into a new work book. Delete all headings and add a column of colons “:”. Save the file as a .txt file. This is your ‘Tester’ data file. Ensure that you close this file, as GenStat will not recognise the file if open in Excel.

Open this file in GenStat press Ctrl+R and in the ‘Find What’ box type * leave the ‘Replace With’ box blank. Click ‘Replace All’ then save this file. This is your test expression file.

5.3 Running the Prediction File Open the ‘Prediction Extraction Programmer’ (GenStat Programme 3

Check the variate “mpadv” these are the X-axis values for the calibration lines. Ensure that these are the same as the bin values entered earlier (section 5.1).

Check the first input file. This should be the expression data of your Tester lines (section 5.2).

Check the second input file. This should be the output file from your calibration line (calibration output file—section 5.1).

Check that the “ntimes” command is the number of test genes multiplied by the number of parents, therefore the total number of genes in your test expression file.

Check that the “calc Z=Z+3” command is correct for your number of Tester lines, for example, for four Tester lines this should read “calc Z=Z+4”.

Check that your “if (estimate)” commands are appropriate for the range of your trait data. This is for the ‘capped’ prediction. These should be set at 2 ‘bin sizes’ beyond and below the bin range, if appropriate.

Run the programme (Ctrl+W). This programme prints to the output window, which should be saved as an output (.out) file.

Note it is normal for there to be error messages, if all of the previous steps have been followed ignore these.

5.4 Analysing the Output

Open your saved output file in Excel. Choose Delimited>Next and tick the Tab and Space buttons.

Delete the writing found in the file until you reach the first data point. Usually the first 60 lines.

Name the columns “No.” “Cap” “Raw”

Scroll to the bottom and delete all of the messages you see there.

Select all and sort by “No” ascending.

Check that you have the correct number of rows remaining. This should equal the ntimes value from the Prediction Extraction Programme (the number of prediction genes you have generated, multiplied by the number of Tester lines you are predicting for). Scroll to the bottom and delete all of the non-relevant information you see there (for example “regvr=regms/resms” “code CA” etc)

Delete any remaining warning messages, to the left and right of the ‘useful data.’

Open the identifier .xls file you generated earlier. Copy the Number series and Identifier columns in to your output file.

Select all (Ctrl+A) and sort by Identifier, this should separate the data by parent name.

Cut and paste all of the parents into neighbouring columns (so that they are next to each other).

Scroll to the bottom of the list under the cap column enter the command “=AVERAGE(B2:B203)” (Note, this command is based on 202 predictive genes, you should adjust this command to cover the number of predictions for your gene set).

Copy this command to the bottom of all of your lists. You should now have two predictions for each of your Tester lines, the CAPPED and RAW prediction values.

These predictions can be used individually, or they can be averaged between replicates of the same accessions.

b) Recommended Prediction Protocol Method 6, N-1 Model

These instructions describe the first steps of the recommended prediction protocol. The N-1 model is a modification to the basic regression method, and using the same GenStat programme, however this regression is repeated for each accession in the training set.

6.1 Running the N-1 Model

To undertake the N-1 model, prepare an expression file containing all of the accessions you wish to use in your training set.

Run a basic regression (GenStat Programme 1-Basic Regression Programme) using all but one of these accessions. If you have multiple replicates of the same accession, ensure that all are removed.

Using the genes identified from this experiment, undertake a prediction as described in Method 5, using the removed accession as the tester line. Record the ID list of the predictive genes (section 4.4), and the results of the RAW prediction for each gene (as listed in section 5.4) for each replicate.

Repeat this process for all of the accession in the training set, until you have predicted each accession against a training set containing all of the other accessions. These data can be used to assess the overall accuracy of these predictions by plotting the ACTUAL trait values against the predicted, or they can be used for the later ‘Best Predictor’ prediction method.

Method 7, Best Predictor

This programme calculates which genes consistently predict well over a wide range of accessions and phenotypes. You can also use the output to investigate the frequency of genes appearing in the predictive lists, and thereby identify many noise genes.

7.1 Creating the Data File

To create the data file first open a new Excel spreadsheet. In the first column, paste the list of predictive gene IDs (the numbers assigned at the regressions stage) from the first of the N-1 accessions (section 6.1). In the next column paste the list of predictions for these genes for this accession, as generated in the prediction stage for that accession in the N-1 model. In the third column at each stage paste the accession name, repeated next to each gene in the list. In the fourth column type the replicate number for that accession, if there is only one replicate type 1. In the fifth type the actual trait value for that accession.

7.2 Running the Prediction File

Open the ‘Basic Best Predictor Programme’ (GenStat Programme 4) Check that the names of the accessions are correctly listed.

Check that the number of replicates is correct (note these should be written [values=‘chip 1’,‘chip 2’] and so on for however many replicates there are).

Check that the Input file name is correct.

Run the programme (Ctrl+W). This programme prints to the output window, which should be saved as an output (.out) file.

7.3 Generating a Best Predictor File

Open your saved output file in Excel. Choose Delimited>Next and tick the Tab and Space buttons.

Delete the copy of the programme in the output (first 31 lines or so) at the top of the file, and the programme information at the bottom of the file (last 8 lines).

Only the first 4 columns (gene, number, Delta, and se_delta) are at the top of the file. Scroll half way down the sheet; there are 3 further columns (a repeat of gene, Ratio, and se_ratio) copy these columns next to the 4 columns at the top of the sheet.

Ensure that the column names are gene, number, Delta, and se_delta, gene, Ratio, se_ratio; respectively.

Delete the second ‘gene’ column.

Save the file. This file is your Best Predictor file

7.4 Using the Best Predictor File

The information in the Best Predictor file is:

Gene Gene is the gene ID list of the predictive genes (section 4.4).

Number The number of occasions that each gene occurs in the predictive gene lists of the N-1 model. Using this we can quickly understand the distribution of this gene between gene lists from the N-1 model (section 6.1). This information can be used to quickly identify ‘noise genes’ by their low frequency in gene lists.

Delta The Absolute Difference (AD) is the mean of the differences between actual trait values and the values predicted for each line in the model. The closer the AD to 0 the closer the predictions are, on average, to the actual value. This value gives a good ‘feel’ for how close a prediction is to the actual, in relation to the trait of interest. For example, an AD of 4 might seem good if the trait was height in cm, and seem a fair tolerance for a prediction, however if the trait was plot yield in Kg, this value might be rather large.

se_delta The standard error of the Absolute Difference (seAD). This value gives a measure of the variability of the prediction, the smaller this value is the smaller the variability of the AD. An ideal predictive gene will have a small AD and seAD.

Ratio Ratio of the Difference (RD). This is the mean of the Ratio between actual trait values and the values predicted for each line in the model. This value is a more universal measure of AD, as all values are normalised to 1 (1 being a perfect match between prediction and actual), and the closer to 1 a gene is the better the gene appears to be for prediction. In theory this should allow the predictive ability of a gene can be assigned, independently of the trait value. For example, a particular gene might have an AD of −0.12 for yield weight, but an RD of 0.98. Saying that the gene is on average a 98% accurate predictor is perhaps an easier concept to understand.

se_ratio The standard error of the Ratio of the Difference (seRD). This value gives a measure of the variability of the ratio of the prediction, the smaller this value is the smaller the variability of the RD. An ideal predictive gene will have an RD close to 1 and a small seRD.

Using these parameters it is possible to generate more accurate gene list for the prediction of heterosis. This is a trial and error process at present, experimenting with different combinations of parameters will identify the best combination of genes for that trait. At present the most consistent combination of parameters for a good analysis has been a gene frequency of ALL MODELS (the predictive gene must appear in all N-1 models), and a Ratio (or RD) of >0.98 and <1.02.

In order to the gene combination with the parameters of gene frequency of all models, and an RD of >0.98 and <1.02, firstly sort (data>sort) the Best Predictor file by ‘number’ with the data descending. Before pressing ‘OK’ use the ‘THEN BY’ function to sort the data by Ratio ascending. Press OK.

This will bring all of the most consistent genes to the top of the worksheet. Select all of the genes that display an RD of between 0.98 and 1.02.

To test whether this is a good predictor list, calculate the average prediction for each accession and replicate for this best predictor gene list, and plot these predictions against the actual values for that trait.

An R² value between 0.5 and 1 suggests that gene list contains genes that are good markers for predictions of that trait.

Method 8, Best Predictor-Prediction 8.1 Best Predictor Prediction

This method is a variation on the standard predictive method (method 5), and uses the same GenStat programmes.

The only variation of this programme is to use the best predictor gene list in place of the 0.1% P-valve list, for generating the training and tester files.

c) Alternative “Basic” Prediction Protocol Method 9, Bootstrapping

These instructions describe the first steps of the alternative prediction protocol. These methods are an addition to the basic regression method, and using the same GenStat programmes for the early stages. This Bootstrapping follows on directly from the basic regression (method 4), but prior to the prediction, and acts as an alternative method for identifying significant ‘marker’ genes. It works by generating a ‘customised T-table’ that is specific for the experiment in question.

9.1 Regression Bootstrapping Open the ‘Basic Linear Regression Bootstrapping Programme’(GenStat Programme 5) in GenStat

Check that the input data filename is correct, and is opening to channel 2. This input file will be the same expression data file used for the initial regression (section 4.1) Check that the output data files are going to the correct destinations and are opening to channels 2, 3, 4, and 5 Check that the numbers of genes to be analysed are correct for each output file (for Arabidopsis ATH-1 GeneChips this will be three files with 6000 genes and one with 4810), and that the print directives are pointing to the correct channels

To run the programme, ensure that both the programme window and output windows are open. Select the programme window and press Ctrl+W. This will set the programme running, check that the GenStat server icon (bottom right-hand corner of the screen) has changed colour to red.

To cancel the programme right click on the server icon and choose interrupt.

Once complete the GenStat icon will change colour back to green. This programme can take many days to run due to the large number calculations, and produces output files totaling up to 430 Mb, so plenty of disk space would be required. Once generated, the data for this programme needs to be extracted.

9.2 Data Extraction Programme

Open the ‘Basic Linear Regression Bootstrapping Data Extraction Programme’ (GenStat Programme 6) in GenStat

Check that the input files are correct (the output files from the bootstrapping programme) Run the programme (Ctrl-W)

This programme prints to the Output window. Save this window as an .out file.

9.3 Analysing the Output

To analyse the data, first open it in Excel, select “delimited”>next>tick the “Tab” and “Space”>Finish Delete the first 32 rows, all of the gaps (after 6000, 12000, and 18000 probes), and all the text at the end of the data file. The data should be the same length as the regression file (for Arabidopsis 22810 lines long).

Add a new row, and label the columns “boot@5%” “boot@1%” and “boot@0.1%” Add a new column to the beginning and label it “ID” Fill the remaining cells of the ID column with a series 1-22810 (edit>fill>series>OK) Copy all of these columns into the same sheet as the Observed significant probes data set, generated from the initial regression (section 4.4) with a one column gap Leaving another single column gap label three further columns “sig@5%” “sig@1%” and “sig@0.1%”. In the first cell in the column “sig@5%” type “=E2−$B2”. Copy this to all of the cells in the three new columns.

9.4 Calculating Significance

Select all of the data columns>Data>Sort>Sig@5% descending Select all of the cells in this row where the value is positive. Colour these cells using the “paint” option, and record the number in this list. These are the genes significant at the 5% level Select all of the data columns>Data>Sort>Sig@1% descending Select all of the cells in this row where the value is positive. Colour these cells using the “paint” option, and record the number in this list. These are the genes significant at the 1% level Select all of the data columns>Data>Sort>Sig@0.1% descending Select all of the cells in this row where the value is positive. Colour these cells using the “paint” option, and record the number in this list. These are the genes significant at the 0.1% level

These results indicate whether or not the OBSERVED values differ significantly from random chance. These lists of significant genes can be used as markers, for the prediction of this trait as described in Method 5.

d) Transcription Remodelling Protocol

These analyses are designed to investigate the degree of difference in the transcriptome profiles between the hybrid and parental lines. There are two methods, investigating the transcriptome remodelling, and investigating the degree of dominance.

Method 10, Transcriptome Remodelling Fold-Change Experiments

This analysis is designed to investigating the transcriptome remodelling between hybrid and parental transcriptomes.

10.1 Create Data File

To create a data file for use in GenStat. Open master normalised expression Excel file>Copy the relevant data columns (in the order 3 hybrid files, 3 paternal files, 3 maternal files) into a new chart>add a colon “:” at the very end of the last row>save chart as .txt file>close file Open the text file in GenStat>Enclose any title names in speech marks (“ ”), this should have the effect of turning the titles green>Find and replace (Ctrl+R)* with blanks>Save file again

10.2 Fold Change Analysis Programme Open the ‘Basic Transcriptome Remodelling Programme’ (GenStat Programme 7) in GenStat

Check that the input data filename is correct, and is opening to channel 2 Check that the output data file is going to the correct destination and is opening to channel 3 Check that the ratios are set correctly for the ratio comparison under investigation.

For example, for

“if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2))” This is set for a 2-fold ratio For 3 fold the values would be 0.33 and 3 For 1.5 fold the values would be 0.66 and 1.5 The values are entered 3 times in the programme Check that the ratios are set correctly for the fold change comparison under investigation. This is undertaken for all of the sections and should be set simply to the relevant fold level

To run the programme, ensure that both the programme window and output windows are open. Select the programme window and press ctrl>W. This will set the programme running, check that the GenStat server icon (bottom right-hand corner of the screen) has changed colour to red.

To cancel the programme right click on the server icon and choose interrupt Once complete the GenStat icon will change colour back to green

10.3 Analysing the Output

To analyse the data, first open it in Excel, select “delimited”>next>tick the “Tab” and “Space”>Finish

Delete the first 266 rows in Excel, until you reach the column headers. Then delete bottom line beyond the data output

At the bottom of each column calculate the total number of significant patterns in that list. This can be done by using the directive “=SUM(C2:C22811)” in the first column and copying this into the remaining columns, ensuring that the correct data is selected.

The initial analysis is now complete. These values represent the OBSERVED data in the further analysis, following bootstrapping to generate the expected values.

Method 11, Transcriptome Remodelling Dominance Experiments

This analysis is designed to investigating dominance type transcriptome remodelling between hybrid and parental transcriptomes. Significance is calculated by comparing observed values to the expected generated from random data. Note, this programme is in its early stages, and is not easy to modify.

11.1 Create Data File

This experiment compares the expression of the profile of the hybrid against the mean of it parents. To do this we must first calculate these mean values.

Open a new Excel worksheet. Paste in the parent expression data (both maternal and paternal) for the first replicate of the first accession.

Calculate the mean value for each gene. This can be done using typing the equation=AVERAGE(A2:B2) into the next cell along. Copy this equation all the way down this column.

Open another worksheet and paste in the expression data of the first hybrid, copy the newly generated mean parental expression value and Edit>Paste Special>Values in to the next column. Repeat this for all of the replicates and accessions. Note that this programme is designed to analyse 3 replicates of each hybrid, a total of 6 columns per accession.

Once this is complete, save the file as .txt. Open the file in GenStat>enclose the titles in “ ” which should change their colour to green. Save the file again. This is the input file.

11.2 Running the Dominance Pattern Recognition Programme Open the ‘Dominance Pattern Programme’ (GenStat Programme 8) in GenStat

Check the accession names (first scalar command) are correct. If you are investigating less than 8 accessions, you will need to change the numbers of these identifiers throughout the programme. Should you not wish to do this, running ‘pseudo-data’ in the remaining columns will not affect the output and can be ignored at the analysis stage.

Check the number of columns (second scalar command) is correct. It should be a 6× the number of accessions used (default is 48). Check that the out put file is correctly named and addressed.

Check that the input file is correct.

Check that the fold level is correct for the analysis you wish to under take. These values a recorded for 2 fold as

if (ratio.ge.0.5).and.(ratio.le.2) “calculates flags”

-   -   calc heqmp=1     -   elsif (ratio.gt.2)     -   calc hgtmp=1     -   elsif (ratio.lt.0.5)     -   calc hltmp=1

For other fold levels change the 0.5 and 2 values to the appropriate value for that fold level.

For 3 fold the values would be 0.33 and 3 For 1.5 fold the values would be 0.66 and 1.5 Run the file by pressing Ctrl+W.

11.3 Analysing the Pattern Recognition Output

To analyse the output file, first open it in Excel, select “delimited”>next>tick the “Tab” and “Space”>Finish

You will see a file filled with ‘1s’ and ‘0s.’ Scroll to the bottom of this file. Underneath the first filled column write the equation “=SUM(B1:B22810)” (ensuring that all of the data in that column is filled). Copy this equation to all of the columns.

Each set of three ‘sum values’ represent the data output for a single accession (3 replicates), in the order that the data was loaded into the programme. These values represent

Column 1=The number of genes who's hybrid expression falls within the fold level criterion of the mid-parent value, for ALL 3 replicates.

Column 2=The number of genes who's hybrid expression is greater than that of the mid-parent value, by at least the fold level criterion, for ALL 3 replicates.

Column 3=The number of genes who's hybrid expression is lower than that of the mid-parent value, by at least the fold level criterion, for ALL 3 replicates.

Record these values, as the OBSERVED for these data.

11.4 Generating the EXPECTED value. The expected data set is generated using the ‘Dominance Permutation Programme’ (GenStat Programme 9)

Check the number of columns (second scalar command) is correct. It should be a 6× the number of accessions used (default is 48).

Check that the out put file is correctly named and addressed.

Check that the input file is correct. This is the same input file as generated previously.

Check that the fold level is correct for the analysis you wish to under take. These values a recorded for 2 fold as before (section 11.1)

Check the number in the permutation loop is correct for then number of permutations you require. A minimum of 100 is recommended (although 1000 is ideal).

Run the file by pressing Ctrl+W.

This programme may take a few days to run, depending upon how many permutations are added.

11.5 Analysing the Pattern Recognition Permutation Output

To analyse the output file, first open it in Excel, select “delimited”>next>tick the “Tab” and “Space”>Finish

You will see a file filled with numbers. Scroll to the bottom of this file. Underneath the first filled column write the equation “=SUM(B1:B123)” (ensuring that all of the data in that column is filled). Copy this equation to all of the columns.

Each set of three ‘sum values’ represent the permuted data output for a single accession (3 replicates), in the order that the data was loaded into the programme. The three values represent the ‘expected by random chance’ versions of the values calculated in section 11.3.

The calculated values at the bottom of the columns are the EXPECTED values required for this analysis. As these data are effectively random it is acceptable to combine these for comparison, if time is limiting.

11.6 Analysing the Significance

The level of significance is calculated by chi square analysis, using the observed and expected data generated previously, and 1 degree of freedom.

Method 12, Transcriptome Remodelling Fold-Change Bootstrapping

This analysis is designed to assess the significance of fold change experiments described in Method 10. Significance is calculated by comparing observed values to expected generated from random data

12.1 Fold Change Bootstrapping Open ‘Transcriptome Remodelling Bootstrap Programme’ (GenStat Programme 10) in GenStat

Check that the input data filename is correct, and is opening to channel 2. This will be the same input file as created in section 10.1.

Check that the output data files is going to the correct destinations and is opening to channels 3

Check that the number of randomisations is set to the desired value. As few as 50 randomisations are sufficient to give valid estimates of random chance, however 1000 would be ideal, but this can take many days to obtain.

Check that the ratios are set correctly for the ratio comparison under investigation.

For example:

“if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2))” This is set for a 2-fold ratio For 3 fold the values would be 0.33 and 3 For 1.5 fold the values would be 0.66 and 1.

To run the programme, ensure that both the programme window and output windows are open. Select the programme window and press Ctrl>W. This will set the programme running, check that the GenStat server icon (bottom right-hand corner of the screen) has changed colour to red.

To cancel the programme right click on the server icon and choose interrupt Once complete the GenStat icon will change colour back to green

12.2 Analysing the Output

To analyse the data, first open it in Excel, select “delimited”>next>tick the “Tab” and “Space”>Finish Delete the first 281 rows in Excel, until you reach the first row of data. Then delete bottom line beyond the data output Select the whole sheet and go to data>sort>sort by “Column B”. This will remove the empty rows from the data.

At the bottom of each column calculate the mean number of significant patterns in that list. This can be done by using the directive “=AVERAGE(B2:B22811)” in the first column and copying this into the remaining columns, ensuring that the correct data is selected.

This will give the EXPECTED mean value, expected by random chance in the data

12.3 Calculating Significance

Calculating the significance of the observed patterns requires the use of a maximum likelihood chi square test Firstly open GenStat>Stats>Statistical Tests>Chi-Square Goodness of Fit Click on “Observed data create table”>Spreadsheet Name the table OBS>Change rows and columns to 1>OK and ignore the error message In the new table cell type the number of the first OBSERVED column sum value Click on “expected frequencies create table”>Spreadsheet Name the table EXP>leave rows and columns as 1>OK and ignore the error message In the new table cell type the number of the first Expected mean column mean value On the Chi-Square window put 1 into the degrees of freedom box and click Run

Record the Chi-Square and P value that appears in the Output window.

Type the next OBSERVED value into the OBS box and click onto the output window Type the next EXPECTED value into the EXP box and click onto the output window On the Chi-Square window click Run, and record the new Chi-Square and P value that appears in the Output window

This should then be undertaken for all of the remaining OBSERVED and EXPECTED values.

These results indicate whether or not the OBSERVED values differ significantly from random chance.

Troubleshooting

This section describes some of the most common problems that can occur while running these programmes. Many of these problems/solutions apply to most of the programmes and as a result this section has not been divided up along programme lines. This list is not exhaustive, but should cover the majority of problems encountered. It should be noted that the ‘fault codes’ given are only for illustration, often many fault codes can result from the same root problem.

General GenStat problems

One common method of solving general problems is to ensure that all of the input files are closed prior to running the programme. This is achieved by typing (to close channel 2) “close ch=2” and then running this directive. By repeating this for channels 3-5, you can ensure that all of the channels are closed before running your programme, and thus avoiding conflicts.

Fault 16, code VA 11, statement 4 in for loop Command: fit [print=*]mpadv Invalid or incompatible type(s) Structure mpadv is not of the required type.

Remove comma from the end of the variate list.

Fault 29, code VA 11, statement 4 in for loop Command: fit [print=*]mpadv Invalid or incompatible type(s) Structure mpadv is not of the required type Problem with the trait-data identifier. Possibly a different or missing identifier following the trait data variates (X-axis data)

Failure to Run Problems —Too Many Values

Fault # code VA 5, statement 2 in for loop Command: read [ch=2; print=*; serial=n]exp Too many values

1) Ensure that the width parameter is large enough, set to a large enough value (400 is standard) 2) Ensure that if titles are included in the data file, that they are ‘greened out’ and not being read as data 3) Ensure that the “Unit” number (at the beginning of the programme) and the number of trait “variate”s are the same —Too Few values Fault 13, code VA 6, statement 4 in for loop Command: fit [print=*]mpadv Too few values (including null subset from RESTRICT) Structure mpadv has 37 values, whereas it should have 38 Ensure that the “Unit” number (at the beginning of the programme) and the number of trait “variate” are the same Warning 6, code VA 6, statement 2 in for loop Command: read [ch=2; print=*; serial=n]exp Too few values (including null subset from RESTRICT) Ensure that the “ntimes=” number and the number of probes in the data file are the same

File Opening Failure

Fault #, code IO 25, statement 2 in for loop Command: read [ch=2; print=*; serial=n]exp Channel for input or output has not been opened, or has been terminated Input File on Channel 2 1) Input file name is incorrect 2) Input file address is incorrect Fault 32, code IO 25, statement 12 in for loop Command: print [ch=3; iprint=*; clprint=*; rlprint=*]bin Channel for input or output has not been opened, or has been terminated Output File on Channel 3

Output file address is incorrect.

Very Slow Running of Bootstrapping

Check that the programme is not having conflicts with anti-virus software. This should be solved by the computing department, but results from anti-virus software scanning the file each time it makes a write-to-disk operation. This can often be easily changed by modifying the scanning settings.

If all Else Fails

Check that the file C:\Temp\Genstat is not filled. This can result from too many temp (.tmp) files being generated as a result of bootstrapping programmes. Deleting these files may improve the running of the programme.

Finally VSN (GenStat providers) can be contacted at ‘support@vsn-intl.com’

Data Analysis Problems Missing or Very High F-Problems

Ensure that the data has not ‘shifted’ at very low f-probabilities. At the regression stage (section 4.4), before creating the ID column, add an extra column to the beginning of the file. Insert the ID column, and sort by DF, if the data has shifted, this should become apparent here.

TABLE 1 Genes showing correlation of transcript abundance in hybrids with the magnitude of heterosis exhibited by those hybrids Affymetrix AGI Code Description Genes with transcript abundance in hybrids correlated with strength of heterosis F < 0.001 MPH and F < 0.001 BPH Positive correlation 251222_at AT3G62580 expressed protein 257635_at AT3G26280 cytochrome P450 family protein 250900_at AT5G03470 serine/threonine protein phosphatase 2A (PP2A) regulatory 252637_at AT3G44530 transducin family protein/WD-40 repeat family protein 253415_at AT4G33060 peptidyl-prolyl cis-trans isomerase cyclophilin-type family protein 265226_at AT2G28430 expressed protein 259770_s_at AT1G07780 phosphoribosylanthranilate isomerase 1 (PAI1) 261075_at AT1G07280 expressed protein 252501_at AT3G46880 expressed protein Genes with transcript abundance in hybrids correlated with strength of heterosis F < 0.001 MPH and F < 0.01 BPH Positive correlation 265217_s_at AT4G20720 dentin sialophosphoprotein-related 253236_at AT4G34370 IBR domain-containing protein 246592_at AT5G14890 NHL repeat-containing protein 266018_at AT2G18710 preprotein translocase secY subunit, chloroplast (CpSecY) 250755_at AT5G05750 DNAJ heat shock N-terminal domain-containing protein 261555_s_at AT1G63230 pentatricopeptide (PPR) repeat-containing protein 262321_at AT1G27570 phosphatidylinositol 3- and 4-kinase family protein 246649_at AT5G35150 CACTA-like transposase family (Ptta/En/Spm) 264214_s_at AT1G65330 MADS-box family protein 261326_s_at AT1G44180 aminoacylase, putative/N-acyl-L-amino-acid amidohydrolase, 255007_at AT4G10020 short-chain dehydrogenase/reductase (SDR) family protein 246450_at AT5G16820 heat shock factor protein 3 (HSF3)/heat shock transcription factor Negative correlation 251608_at AT3G57860 expressed protein 260595_at AT1G55890 pentatricopeptide (PPR) repeat-containing protein 248940_at AT5G45400 replication protein, putative 254958_at AT4G11010 nucleoside diphosphate kinase 3, mitochondrial (NDK3) 257020_at AT3G19590 WD-40 repeat family protein/mitotic checkpoint protein, putative Genes with transcript abundance in hybrids correlated with strength of heterosis F < 0.001 MPH and F < 0.05 BPH Positive correlation 254431_at AT4G20840 FAD-binding domain-containing protein 248941_s_at AT5G45460 expressed protein 256770_at AT3G13710 prenylated rab acceptor (PRA1) family protein 247443_at AT5G62720 integral membrane HPP family protein 258059_at AT3G29035 no apical meristem (NAM) family protein 246259_at AT1G31830 amino acid permease family protein 262844_at AT1G14890 invertase/pectin methylesterase inhibitor family protein 246602_at AT1G31710 copper amine oxidase, putative 247092_at AT5G66380 mitochondrial substrate carrier family protein 264986_at AT1G27130 glutathione S-transferase, putative Negative correlation 258747_at AT3G05810 expressed protein 266427_at AT2G07170 expressed protein 263908_at AT2G36480 zinc finger (C2H2-type) family protein 250924_at AT5G03440 expressed protein 249690_at AT5G36210 expressed protein 245447_at AT4G16820 lipase class 3 family protein 260383_s_at AT1G74060 60S ribosomal protein L6 (RPL6B) Genes with transcript abundance in hybrids correlated with strength of heterosis F < 0.001 BPH and F < 0.01 MPH Positive correlation 260260_at AT1G68540 oxidoreductase family protein 252502_at AT3G46900 copper transporter, putative 256680_at AT3G52230 expressed protein 254651_at AT4G18160 outward rectifying potassium channel, putative (KCO6) 264973_at AT1G27040 nitrate transporter, putative 256813_at AT3G21360 expressed protein 248697_at AT5G48370 thioesterase family protein 267071_at AT2G40980 expressed protein 246835_at AT5G26640 hypothetical protein 252205_at AT3G50350 expressed protein Genes with transcript abundance in hybrids correlated with strength of heterosis F < 0.001 BPH and F < 0.05 MPH Positive correlation 266879_at AT2G44590 dynamin-like protein D (DL1D) 253999_at AT4G26200 1-aminocyclopropane-1-carboxylate synthase, putative/ACC 266268_at AT2G29510 expressed protein 264565_at AT1G05280 fringe-related protein 255408_at AT4G03490 ankyrin repeat family protein 261166_s_at AT1G34570 expressed protein 252375_at AT3G48040 Rac-like GTP-binding protein (ARAC8) 264192_at AT1G54710 expressed protein 259886_at AT1G76370 protein kinase, putative 251255_at AT3G62280 GDSL-motif lipase/hydrolase family protein 260197_at AT1G67623 F-box family protein 253645_at AT4G29830 transducin family protein/WD-40 repeat family protein 245621_at AT4G14070 AMP-binding protein, putative Negative correlation 246053_at AT5G08340 riboflavin biosynthesis protein-related 264341_at At1G70270 unknown protein 250349_at AT5G12000 protein kinase family protein 256412_at AT3G11220 Paxneb protein-related

TABLE 2 List of genes showing a correlation between transcript abundance in parents with the magnitude of MPH exhibited by their hybrids with Landsberg er msl. 2A: Genes showing positive correlation between transcript abundance and trait value AT5G10140 AT2G32340 AT4G04960 AT3G58010 AT1G03710 AT2G07717 AT3G06640 AT5G65520 AT3G29035 AT1G03620 AT1G02180 AT3G03590 AT5G24480 AT2G41650 AT4G25280 AT5G46770 AT3G47750 AT1G13980 AT5G20410 AT1G68540 AT1G65370 AT1G22090 AT4G01897 AT2G26500 AT5G66310 AT1G65310 AT1G31360 AT5G53540 AT1G70890 AT2G39680 AT2G21195 AT5G18150 AT2G06460 AT3G28750 AT5G13730 AT5G54095 AT4G19470 AT2G47780 AT5G43720 AT1G54780 AT1G54923 AT4G11760 AT3G59680 AT5G55190 AT5G60610 AT3G51000 AT2G27490 AT1G80600 AT5G46750 AT1G09540 AT2G16860 AT3G57040 AT1G27030 AT5G63080 AT2G20350 AT5G59400 AT4G18330 AT4G14410 AT2G13610 AT5G58960 AT5G61290 AT1G51360 AT4G00530 AT2G41890 AT3G23760 AT1G44180 AT1G14150 AT1G78790 AT3G47220 AT3G51530 AT2G14520 AT1G70760 AT3G05540 AT4G20720 AT1G72650 AT2G32400 AT3G47250 AT3G27400 AT1G64810 AT2G36440 AT3G22940 AT5G48340 AT4G24660 AT5G16610 AT3G23570 AT1G34460 AT5G38360 AT5G05700 AT5G25220 AT5G38790 AT5G03010 AT2G31820 AT5G28560 AT1G15000 AT3G21360 AT1G05190 AT1G14890 AT1G58080 AT3G56140 AT5G64350 AT5G27270 AT3G26130 AT3G17880 AT2G35795 AT4G10380 AT1G67910 AT1G60830 AT4G00420 AT2G07671 AT1G80130 AT1G79880 AT1G04830 AT2G16980 AT4G16170 AT2G42450 AT5G04410 AT2G45830 AT2G44480 AT2G36350 AT1G68550 AT3G09160 orf107f AT5G04900 AT2G29710 AT1G21770 AT4G15545 AT5G17790 AT5G58130 AT4G21280 AT4G20860 AT2G35690 AT2G22905 AT1G04660 AT2G24040 AT2G32650 AT5G66380 AT1G18990 AT4G16470 nad9 AT4G10030 AT1G70480 AT5G56870 AT3G20270 AT2G36370 AT5G24310 ycf9 AT5G64280 AT5G06530 AT4G20830 AT3G10750 AT1G29410 AT1G71480 AT3G61070 AT1G67600 AT3G14560 AT5G11840 AT3G44120 AT5G66960 AT5G40960 AT3G58350 AT1G26230 AT1G76080 AT4G10410 AT4G28100 AT3G23540 AT1G70870 AT3G50810 AT1G34620 psbI AT5G37540 AT3G12010 AT1G33910 AT1G03300 AT1G45050 AT3G10450 AT1G65070 AT4G17740 2B: Genes showing negative correlation between transcript abundance and trait value AT1G50120 AT4G22753 AT4G30890 AT5G66750 AT5G11560 AT3G53170 AT3G07170 AT5G28460 AT3G50000 AT3G22310 AT5G26100 AT3G47530 AT1G12310 AT3G02230 AT3G03070 AT4G37870 AT5G63220 AT3G30867 AT2G14835 AT1G25230 AT1G61770 AT2G14890 AT1G74050 AT1G47210 AT1G42480 AT4G19040 AT5G50000 AT5G10390 AT1G13900 AT1G71880 AT2G40290 AT3G52500 AT2G03220 AT1G04040 AT5G57870 AT5G06265 AT2G26140 AT4G34710 AT4G04910 AT3G60450 AT1G48140 AT4G21480 AT2G38970 AT3G23560 AT5G63400 AT5G45270 AT2G42910 AT2G34840 AT4G03550 AT5G11580 AT2G41110 AT3G23080 AT2G33845 AT3G09270 AT2G30530 AT5G40370 AT3G55360 AT4G23570 AT3G45770 AT5G53940 AT5G20280 AT4G36680 AT3G51550 AT1G64450 AT4G00860 AT3G19590 AT5G27120 AT5G45550 AT3G49310 AT2G32190 AT4G27430 AT2G37340 AT5G19320 AT3G11220 AT1G21830 AT2G32190 AT2G17440 AT4G27590 AT5G54100 AT2G22470 AT2G15000 AT1G31550 AT4G13270 AT2G22200 AT1G55890 AT5G45510 AT5G40890 AT5G45500 AT3G62960 AT1G59930 AT3G58180 AT4G21650 AT4G31630 AT3G57550 AT4G24370

TABLE 3 Genes used for prediction of leaf number at bolting in vernalised plants; Transcript ID (AGI code) 3A: Genes showing positive correlation between transcript abundance and trait value At1g02620 At1g09575 At1g10740 At1g16460 At1g27210 At1g27590 At1g29440 At1g29610 At1g30970 At1g32150 At1g32740 At1g35660 At1g36160 At1g43730 At1g45474 At1g52870 At1g52990 At1g53170 At1g55130 At1g55300 At1g57760 At1g58470 At1g67690 At1967960 At1968330 At1g68840 At1g70730 At1g70830 At1g75490 At1g77490 At2g02750 At2g03330 At2g03760 At2g06220 At2g07050 At2g15810 At2g16650 At2g19010 At2g20550 At2g22440 At2g23180 At2g23480 At2g23560 At2g24660 At2g24790 At2g25850 At2g27190 At2g27220 At2g30990 At2g31800 At2g32020 At2g34020 At2g40420 At2g40940 At2g42380 At2g42590 At2g43320 At2g44800 At3g02180 At3g05750 At3g09470 At3g10810 At3g11100 At3g11750 At3g13120 At3g13222 At3g14000 At3g14250 At3g14440 At3g15190 At3g18050 At3g19170 At3g19850 At3g20020 At3g21210 At3g22710 At3g27020 At3g27325 At3g27770 At3g30220 At3g44410 At3g44720 At3g45580 At3g45780 At3g45840 At3g48730 At3g51560 At3g53680 At3g55560 At3g57780 At3g60260 At3g60290 At3g60430 At3g61530 At3g62430 At4g02610 At4g08680 At4g10550 At4g10925 At4g12510 At4g13800 At4g14920 At4g17240 At4g17260 At4g17560 At4g18460 At4g18820 At4g19140 At4g19240 At4g19985 At4g23290 At4g23300 At4g27050 At4g27990 At4g29420 At4g31030 At4g32000 At4g32250 At4g32410 At4g32810 At4g35760 At4g35930 At4g39390 At4g39560 At5g04190 At5g14340 At5g14800 At5g16010 At5g16800 At5g17210 At5g17570 At5g38310 At5g40290 At5g41870 At5g44860 At5g45320 At5g45390 At5g47390 At5g48900 At5g49730 At5g51080 At5g51230 At5g52780 At5g52900 At5g53130 At5g55750 At5g56520 At5g57345 At5g59650 At5g63360 At5g63800 At5g67430 ndhA ndhH psbM rpl33 3B: Genes showing negative correlation between transcript abundance and trait value At1g01230 At1g03710 At1g03820 At1g03960 At1g07070 At1g13090 At1g13680 At1g14930 At1g15200 At1g18250 At1g18850 At1g19340 At1g20070 At1g22340 At1g24070 At1g24100 At1g24260 At1g29050 At1g29310 At1g29850 At1g32770 At1g51380 At1g51460 At1g52040 At1g52760 At1g52930 At1g53160 At1g59670 At1g61570 At1g62560 At1g63540 At1g64900 At1g68990 At1g69440 At1g69750 At1g69760 At1g74660 At1g75390 At1g77540 At1g77600 At1g78050 At1g78780 At1g79520 At1g80170 At2g01520 At2g01610 At2g04740 At2g14120 At2g17670 At2g18040 At2g18600 At2g18740 At2g19480 At2g19750 At2g19850 At2g20450 At2g22240 At2g22920 At2g23700 At2g25670 At2g27360 At2g28450 At2g29070 At2g34570 At2g35150 At2g36170 At2g37020 At2g40435 At2g41140 At2g45660 At2g45930 At2g47640 At3g02310 At3g02800 At3g03610 At3g05230 At3g09310 At3g09720 At3g12520 At3g13570 At3g14120 At3g15270 At3g16080 At3g18280 At3g19370 At3g20100 At3g20430 At3g22370 At3g22540 At3g25220 At3g28500 At3g49600 At3g51780 At3g52590 At3g53140 At3g56900 At4g02290 At4g03156 At4g08150 At4g11160 At4g14010 At4g14350 At4g14850 At4g15910 At4g17770 At4g18470 At4g18780 At4g19850 At4g21090 At4g29230 At4g29550 At4g35940 At4g39320 At5g01730 At5g01890 At5g02030 At5g03840 At5g04850 At5g04950 At5g05280 At5g06190 At5g07370 At5g08370 At5g11630 At5g15800 At5g16040 At5g17370 At5g17420 At5g20740 At5g22460 At5g22630 At5g37260 At5g40380 At5g42180 At5g43860 At5g44620 At5g45010 At5g47540 At5g50110 At5g50350 At5g50915 At5g52040 At5g53770 At5g54250 At5g55560 At5g57920 At5g58710 At5g59305 At5g59310 At5g59460 At5g60490 At5g60690 At5g60910 At5g61310 At5g62290

TABLE 4 Genes used for prediction of leaf number at bolting in unvernalised plants; Transcript ID (AGI code) 4A. Genes showing positive correlation between transcript abundance and trait value At1g02813 At1g02910 At1g03840 At1g08750 At1g13810 At1g15530 At1g16280 At1g18530 At1g20370 At1g21070 At1g24390 At1g24735 At1g28430 At1g28610 At1g31500 At1g31660 At1g33265 At1g34480 At1g42690 At1g45616 At1g47230 At1g47980 At1g48040 At1g50230 At1g51340 At1g52290 At1g52600 At1g53500 At1g55370 At1g56500 At1g59510 At1g59720 At1g61280 At1g62630 At1g63150 At1g63680 At1g66070 At1g66850 At1g68600 At1g69680 At1g70870 At1g74700 At1g74800 At1g76380 At1g76880 At1g77140 At1g77870 At1g78070 At1g78720 At1g78930 At2g01860 At2g01890 At2g02050 At2g03420 At2g03460 At2g03480 At2g04840 At2g07734 At2g12400 At2g13690 At2g17250 At2g17870 At2g20200 At2g23610 At2g28620 At2g30390 At2g30460 At2g35400 At2g38650 At2g41770 At2g42120 At2g44820 At3g01040 At3g01110 At3g01250 At3g01440 At3g01790 At3g02350 At3g03230 At3g03780 At3g07040 At3g11980 At3g13280 At3g15400 At3g16100 At3g17170 At3g17710 At3g17840 At3g17990 At3g18000 At3g18130 At3g18700 At3g20140 At3g20320 At3g21950 At3g23310 At3g24150 At3g25140 At3g25805 At3g25960 At3g27240 At3g27360 At3g27780 At3g28007 At3g29660 At3g51680 At3g55510 At3g59780 At4g00640 At4g01970 At4g02820 At4g04790 At4g05640 At4g08140 At4g08250 At4g12460 At4g14605 At4g16120 At4g17615 At4g18030 At4g18070 At4g18720 At4g21890 At4g22040 At4g22800 At4g23740 At4g26310 At4g26360 At4g30720 At4g31590 At4g33070 At4g33770 At4g38050 At4g38760 At5g05450 At5g05840 At5g07630 At5g07720 At5g08180 At5g10020 At5g10250 At5g10950 At5g11240 At5g11270 At5g16690 At5g20680 At5g25070 At5g26780 At5g27330 At5g36120 At5g40830 At5g41480 At5g42700 At5g46330 At5g46690 At5g47435 At5g51050 At5g51100 At5g53070 At5g56280 At5g57310 At5g59350 At5g59530 At5g63040 At5g63150 At5g63440 At5g64480 accD nad4L orf121b orf294 rps12.1 rps2 ycf4 4B. Genes showing negative correlation between transcript abundance and trait value At1g02360 At1g04300 At1g04810 At1g04850 At1g06200 At1g08450 At1g10290 At1g12360 At1g15920 At1g18700 At1g18880 At1g21000 At1g22190 At1g22930 At1g23050 At1g23950 At1g24340 At1g30720 At1g33990 At1g34300 At1g34370 At1g48090 At1g50570 At1g54250 At1g54360 At1g59590 At1g59960 At1g60710 At1g60940 At1g61560 At1g65980 At1g66080 At1g68920 At1g70090 At1g70590 At1g72300 At1g72890 At1g75400 At1g78420 At1g78870 At1g78970 At1g79380 At1g79840 At1g80630 At2g01060 At2g02390 At2g05070 At2g15080 At2g21180 At2g22800 At2g25080 At2g26300 At2g28070 At2g29120 At2g30140 At2g31350 At2g32850 At2g35900 At2g41640 At2g41870 At2g42270 At2g43000 At2g44130 At2g45600 At2g47250 At2g47800 At2g48020 At3g01650 At3g01770 At3g04070 At3g06130 At3g07690 At3g08650 At3g09735 At3g09840 At3g10500 At3g11410 At3g12480 At3g13062 At3g15900 At3g17770 At3g18370 At3g20250 At3g21640 At3g23600 At3g26520 At3g29180 At3g43520 At3g44880 At3g46960 At3g48410 At3g48760 At3g51010 At3g51890 At3g52550 At3g55005 At3g56310 At3g59950 At3g60245 At3g60980 At3g62590 At4g02470 At4g07950 At4g09800 At4g15420 At4g15620 At4g16760 At4g16830 At4g16845 At4g16990 At4g17040 At4g17340 At4g17600 At4g18260 At4g20110 At4g22190 At4g23880 At4g28160 At4g29735 At4g29900 At4g31985 At4g33300 At4g35060 At5g01650 At5g03455 At5g05680 At5g06960 At5g12250 At5g14240 At5g15880 At5g18900 At5g21070 At5g22450 At5g24450 At5g25120 At5g25440 At5g25490 At5g25560 At5g25880 At5g38850 At5g39610 At5g39950 At5g40250 At5g40330 At5g42310 At5g42560 At5g43460 At5g44390 At5g45050 At5g45420 At5g45430 At5g45500 At5g45510 At5g48180 At5g49000 At5g49500 At5g52240 At5g57160 At5g57340 At5g58220 At5g58350 At5g59150 At5g66810 At5g67380

TABLE 5 Genes used for prediction of ratio of leaf number at bolting (vernalised plants)/leaf number at bolting (unvernalised plants); Transcript ID (AGI code) 5A. Genes showing positive correlation between transcript abundance and trait value At1g01550 At1g02360 At1g02390 At1g02740 At1g02930 At1g03210 At1g03430 At1g07000 At1g07090 At1g08050 At1g08450 At1g09560 At1g10340 At1g10660 At1g12360 At1g13100 At1g13340 At1g14070 At1g14870 At1g15520 At1g15790 At1g15880 At1g15890 At1g18570 At1g19250 At1g19960 At1g21240 At1g21570 At1g22890 At1g22930 At1g22985 At1g23780 At1g23830 At1g23840 At1g26380 At1g26390 At1g28130 At1g28280 At1g28340 At1g28670 At1g30900 At1g32700 At1g32740 At1g32940 At1g34300 At1g34540 At1g35230 At1g35320 At1g35560 At1g43910 At1g45145 At1g48320 At1g49050 At1g50420 At1g50430 At1g50570 At1g51280 At1g51890 At1g53170 At1g54320 At1g54360 At1g55730 At1g57650 At1g57790 At1g58470 At1g61740 At1g62763 At1g66090 At1g66100 At1g66240 At1g66880 At1g67330 At1g67850 At1g68300 At1g68920 At1g69930 At1g71070 At1g71090 At1g72060 At1g72280 At1g72900 At1g73260 At1g73805 At1g75130 At1g75400 At1g78410 At1g79840 At1g80460 At2g02390 At2g02930 At2g03070 At2g03870 At2g03980 At2g05520 At2g06470 At2g11520 At2g13810 At2g14560 At2g14610 At2g15390 At2g16790 At2g17040 At2g17120 At2g17650 At2g17790 At2g18680 At2g18690 At2g20145 At2g22170 At2g22690 At2g22800 At2g23810 At2g24160 At2g24850 At2g25625 At2g26240 At2g26400 At2g26600 At2g26630 At2g28210 At2g28940 At2g29350 At2g29470 At2g30500 At2g30520 At2g30550 At2g30750 At2g30770 At2g31880 At2g31945 At2g32140 At2g33220 At2g33770 At2g34500 At2g35980 At2g39210 At2g39310 At2g40410 At2g40600 At2g40610 At2g41100 At2g42390 At2g43000 At2g43570 At2g44380 At2g45760 At2g46020 At2g46150 At2g46330 At2g46400 At2g46450 At2g46600 At2g47710 At3g01080 At3g03560 At3g04070 At3g04210 At3g04720 At3g08650 At3g08690 At3g08940 At3g09020 At3g09735 At3g09940 At3g10640 At3g10720 At3g11010 At3g11820 At3g11840 At3g12040 At3g13100 At3g13270 At3g13370 At3g13610 At3g13772 At3g13950 At3g13980 At3g14210 At3g14470 At3g16990 At3g18250 At3g18490 At3g18860 At3g18870 At3g20250 At3g22060 At3g22231 At3g22240 At3g22600 At3g22970 At3g23050 At3g23080 At3g23110 At3g25070 At3g25610 At3g26170 At3g26210 At3g26220 At3g26230 At3g26450 At3g26470 At3g28180 At3g28450 At3g28510 At3g43210 At3g44630 At3g45240 At3g45780 At3g47050 At3g47480 At3g48090 At3g48640 At3g50290 At3g50770 At3g50930 At3g51010 At3g51330 At3g51430 At3g51440 At3g51890 At3g52240 At3g52400 At3g52430 At3g53410 At3g56310 At3g56400 At3g56710 At3g57260 At3g57330 At3g60420 At3g60980 At3g61010 At3g61540 At4g00330 At4g00355 At4g00700 At4g00955 At4g01010 At4g01700 At4g02380 At4g02420 At4g02540 At4g03450 At4g04220 At4g05040 At4g05050 At4g08480 At4g10500 At4g11890 At4g11960 At4g12010 At4g12510 At4g12720 At4g13560 At4g14365 At4g14610 At4g15420 At4g15620 At4g16260 At4g16750 At4g16845 At4g16850 At4g16870 At4g16880 At4g16890 At4g16950 At4g16990 At4g17250 At4g17270 At4g17900 At4g19660 At4g21830 At4g22560 At4g22670 At4g23140 At4g23150 At4g23180 At4g23220 At4g23260 At4g23310 At4g25900 At4g26070 At4g26410 At4g27280 At4g29050 At4g29740 At4g29900 At4g33300 At4g34135 At4g34215 At4g35750 At4g36990 At4g37010 At5g04720 At5g05460 At5g06330 At5g06960 At5g07150 At5g08240 At5g10380 At5g10740 At5g10760 At5g11910 At5g11920 At5g13320 At5g14430 At5g18060 At5g18780 At5g21070 At5g22570 At5g24530 At5g25260 At5g25440 At5g26920 At5g27420 At5g35200 At5g37070 At5g37930 At5g38850 At5g38900 At5g39030 At5g39520 At5g39670 At5g40170 At5g40780 At5g40910 At5g41150 At5g42050 At5g42090 At5g42250 At5g42560 At5g43440 At5g43460 At5g43750 At5g44570 At5g44980 At5g45050 At5g45110 At5g45420 At5g45500 At5g45510 At5g48810 At5g51640 At5g51740 At5g52240 At5g52760 At5g53050 At5g53130 At5g53870 At5g54290 At5g54610 At5g55450 At5g55640 At5g57220 At5g58220 At5g59420 At5g60280 At5g60950 At5g61900 At5g62150 At5g62950 At5g63180 At5g64000 At5g66590 At5g67340 At5g67590 5B. Genes showing negative correlation between transcript abundance and trait value At1g03820 At1g05480 At1g06020 At1g06470 At1g07370 At1g18100 At1g20750 At1g28610 At1g31660 At1g44790 At1g47230 At1g49740 At1g51340 At1g52290 At1g61280 At1g63130 At1g63680 At1g64100 At1g66140 At1g67720 At1g69420 At1g69700 At1g71920 At1g74800 At1g76270 At1g77680 At1g78720 At1g78930 At2g01890 At2g03480 At2g13920 At2g14530 At2g17280 At2g18890 At2g20470 At2g22870 At2g33330 At2g36230 At2g36930 At2g37860 At2g39220 At2g39830 At2g40160 At2g44310 At3g05030 At3g05940 At3g06200 At3g10450 At3g10840 At3g13560 At3g13640 At3g15400 At3g17990 At3g18000 At3g18070 At3g19790 At3g20240 At3g21510 At3g24470 At3g27180 At3g28270 At3g45930 At3g47510 At3g49750 At3g50810 At3g52370 At3g54250 At3g54820 At3g57000 At4g04790 At4g08140 At4g10280 At4g10320 At4g12430 At4g14420 At4g16700 At4g17180 At4g19100 At4g23720 At4g23750 At4g24670 At4g26140 At4g31210 At4g31540 At4g34740 At4g35990 At4g38050 At4g38760 At5g02050 At5g02180 At5g02590 At5g02740 At5g06050 At5g07800 At5g08180 At5g14370 At5g15050 At5g19920 At5g20240 At5g22430 At5g22790 At5g23570 At5g27330 At5g27660 At5g41480 At5g43880 At5g49555 At5g51050 At5g51350 At5g53760 At5g53770 At5g55400 At5g55710 At5g56620 At5g57960 At5g59350 At5g61770 At5g62575 orf121b

TABLE 6 Genes for prediction of oil content of seeds, % dry weight (vernalised plants); Transcript ID (AGI code) 6A. Genes showing positive correlation between transcript abundance and trait value At1g02640 At1g02750 At1g02890 At1g04170 At1g05550 At1g05720 At1g08110 At1g08560 At1g09200 At1g09575 At1g10170 At1g10590 At1g13250 At1g15260 At1g17590 At1g18650 At1g23370 At1g27590 At1g29180 At1g31020 At1g34030 At1g42480 At1g48140 At1g49660 At1g51950 At1g52800 At1g54850 At1g55300 At1g60010 At1g60230 At1g61810 At1g63780 At1g64105 At1g64450 At1g65260 At1g66130 At1g66180 At1g67350 At1g69690 At1g70730 At1g71970 At1g74670 At1g74690 At2g01090 At2g14890 At2g17650 At2g18400 At2g18550 At2g18990 At2g20210 At2g20220 At2g20840 At2g21860 At2g25170 At2g25900 At2g27260 At2g29550 At2g30050 At2g30530 At2g31120 At2g31640 At2g31955 At2g32440 At2g36490 At2g37050 At2g37410 At2g38120 At2g38720 At2g39850 At2g39870 At2g39990 At2g40040 At2g40570 At2g41370 At2g42300 At2g42590 At2g42740 At2g44130 At2g44530 At2g45190 At3g02500 At3g03310 At3g03380 At3g05410 At3g06470 At3g07080 At3g14240 At3g15550 At3g17850 At3g18390 At3g19170 At3g24660 At3g28345 At3g51150 At3g53110 At3g53170 At3g55480 At3g55610 At3g57340 At3g57490 At3g57860 At3g60390 At3g60520 At3g61180 At3g62720 At3g63000 At4g00180 At4g00600 At4g00860 At4g00930 At4g01120 At4g01460 At4g02440 At4g02700 At4g03050 At4g03070 At4g07400 At4g11790 At4g12600 At4g12880 At4g14550 At4g15780 At4g16490 At4g17560 At4g20070 At4g21650 At4g27830 At4g29750 At4g32760 At4g34250 At4g38670 At5g02770 At5g04600 At5g07000 At5g07030 At5g07300 At5g07640 At5g07840 At5g08330 At5g08500 At5g09330 At5g10390 At5g15390 At5g17100 At5g19530 At5g22290 At5g23420 At5g24210 At5g25180 At5g25760 At5g26270 At5g27360 At5g32470 At5g36210 At5g36900 At5g37510 At5g38140 At5g40150 At5g41650 At5g44860 At5g45260 At5g45270 At5g46160 At5g47030 At5g47760 At5g48900 At5g50230 At5g51660 At5g52110 At5g52250 At5g54190 At5g54580 At5g55670 At5g55900 At5g57660 At5g58600 At5g60850 At5g62530 At5g62550 At5g63860 At5g65650 6B. Genes showing negative correlation between transcript abundance and trait value At1g01790 At1g03710 At1g04220 At1g04960 At1g04985 At1g06550 At1g06780 At1g10550 At1g11070 At1g11280 At1g11630 At1g12550 At1g15310 At1g16060 At1g16540 At1g16880 At1g18830 At1g22480 At1g23120 At1g27440 At1g29700 At1g31580 At1g34040 At1g34210 At1g47410 At1g47960 At1g49710 At1g50580 At1g51070 At1g51440 At1g51580 At1g51805 At1g53690 At1g54560 At1g55850 At1g61667 At1g62860 At1g63320 At1g64950 At1g65480 At1g66930 At1g69750 At1g70250 At1g70270 At1g72800 At1g73177 At1g74590 At1g74650 At1g75690 At1g77000 At1g77380 At1g78450 At1g78740 At1g78750 At1g79950 At1g80130 At1g80170 At2g02960 At2g11690 At2g13770 At2g19570 At2g19850 At2g20410 At2g20500 At2g21630 At2g22920 At2g23340 At2g26170 At2g27760 At2g30020 At2g31450 At2g31820 At2g32490 At2g33480 At2g37970 At2g37975 At2g44850 At2g47570 At2g47640 At3g01720 At3g01970 At3g05210 At3g05540 At3g09410 At3g09480 At3g14395 At3g14720 At3g16520 At3g17800 At3g18980 At3g19320 At3g19710 At3g20270 At3g22370 At3g22740 At3g23170 At3g24400 At3g25120 At3g26130 At3g27960 At3g28050 At3g29787 At3g30720 At3g42840 At3g43240 At3g45070 At3g45270 At3g46500 At3g47320 At3g49360 At3g50810 At3g51030 At3g51580 At3g53690 At3g57630 At3g57680 At3g57760 At3g60170 At3g62390 At3g62400 At3g62410 At4g00960 At4g01070 At4g01080 At4g02450 At4g03060 At4g03260 At4g03400 At4g03500 At4g03640 At4g04900 At4g09680 At4g10150 At4g12020 At4g13050 At4g13180 At4g14040 At4g17390 At4g18210 At4g18780 At4g19980 At4g20840 At4g21400 At4g22790 At4g24130 At4g24940 At4g25040 At4g25890 At4g26610 At4g28350 At4g32240 At4g32690 At4g33040 At4g34240 At4g37150 At4g39780 At5g02820 At5g05420 At5g08600 At5g08750 At5g10180 At5g11600 At5g15600 At5g16520 At5g17060 At5g17420 At5g17790 At5g20180 At5g23010 At5g24510 At5g24850 At5g25640 At5g25830 At5g26665 At5g28560 At5g35400 At5g35520 At5g37300 At5g38780 At5g38980 At5g39550 At5g39940 At5g42180 At5g43480 At5g43500 At5g44030 At5g44740 At5g45170 At5g46490 At5g47050 At5g47630 At5g48110 At5g48340 At5g49530 At5g49540 At5g52380 At5g53090 At5g53350 At5g54660 At5g54690 At5g56030 At5g56700 At5g58980 At5g59305 At5g59690 At5g60160 At5g61640 At5g63590 At5g64816

TABLE 7 Genes with transcript abundance correlating with ratio of 18:2/18:1 fatty acids in seed oil (vernalised plants); Transcript ID (AGI code) 7A. Genes showing positive correlation between transcript abundance and trait value At1g01730 At1g15490 At1g16060 At1g16540 At1g23120 At1g26730 At1g34220 At1g35260 At1g50580 At1g54560 At1g59620 At1g61400 At1g62860 At1g67550 At1g74650 At1g76690 At1g77380 At1g77590 At1g78450 At1g78750 At1g79950 At1g80170 At2g01120 At2g02960 At2g03680 At2g13770 At2g17220 At2g20410 At2g21630 At2g27090 At2g34440 At2g37975 At2g38010 At2g44850 At2g44910 At3g01720 At3g05210 At3g05270 At3g05320 At3g11880 At3g13840 At3g14450 At3g16520 At3g19930 At3g22690 At3g24400 At3g42840 At3g45640 At3g48580 At3g49360 At3g57760 At4g02450 At4g03060 At4g04650 At4g10150 At4g12020 At4g13050 At4g13180 At4g15260 At4g17390 At4g24920 At4g24940 At4g32240 At5g06730 At5g06810 At5g08750 At5g13890 At5g17060 At5g19560 At5g20180 At5g23010 At5g28500 At5g28560 At5g38980 At5g43330 At5g44740 At5g47050 At5g49540 At5g56910 At5g60160 At5g64816 7B. Genes showing negative correlation between transcript abundance and trait value At1g02050 At1g04170 At1g04790 At1g06580 At1g08110 At1g13250 At1g14700 At1g15280 At1g18650 At1g26920 At1g29180 At1g29950 At1g33055 At1g35720 At1g49660 At1g51950 At1g52800 At1g52810 At1g54450 At1g60190 At1g60390 At1g60800 At1g62500 At1g62510 At1g63780 At1g64105 At1g66180 At1g66250 At1g66900 At1g67590 At1g67830 At1g69690 At1g75710 At1g76320 At2g04700 At2g14900 At2g16800 At2g18990 At2g20210 At2g20220 At2g20360 At2g21860 At2g25900 At2g27970 At2g31120 At2g34560 At2g36490 At2g37410 At2g38120 At2g39450 At2g39870 At2g40040 At2g40570 At2g42740 At2g44860 At3g02500 At3g07200 At3g08000 At3g11420 At3g11760 At3g14240 At3g24660 At3g26310 At3g27420 At3g44010 At3g47060 At3g53230 At3g55480 At3g55610 At3g56060 At3g57860 At3g60520 At3g60530 At3g61830 At3g62430 At3g62460 At4g00600 At4g00930 At4g03050 At4g03070 At4g12600 At4g13980 At4g14550 At4g15780 At4g16920 At4g17560 At4g22160 At4g25150 At4g26555 At4g36140 At4g36740 At5g07000 At5g07030 At5g10390 At5g15120 At5g17020 At5g17100 At5g17220 At5g18070 At5g25590 At5g26270 At5g37510 At5g40150 At5g43280 At5g46160 At5g47760 At5g51080 At5g51660 At5g52230 At5g54190 At5g55670 At5g57660 At5g63860 At5g65390 At5g65650 At5g65880 18:2 = linoleic acid 18:1 = oleic acid

TABLE 8 Genes for prediction of ratio of 18:3/18:1 fatty acids in seed oil (vernalised plants); Transcript ID (AGI code) 8A. Genes showing positive correlation between transcript abundance and trait value At1g11940 At1g15490 At1g22200 At1g23890 At1g28030 At1g33560 At1g49030 At1g51430 At1g59265 At1g62610 At1g64190 At1g69450 At1g71140 At1g78210 At2g07050 At2g31770 At2g35736 At2g46640 At3g14780 At3g16700 At3g26430 At3g46540 At3g49360 At3g51580 At4g01690 At4g08240 At4g11900 At4g12300 At4g18593 At4g23300 At4g24940 At4g38930 At4g39390 At5g03290 At5g05750 At5g08590 At5g11270 At5g13890 At5g14700 At5g16250 At5g17880 At5g18400 At5g20180 At5g22860 At5g23510 At5g27760 At5g28940 At5g44240 At5g44290 At5g44520 At5g46630 At5g47410 At5g49540 At5g49630 At5g54970 At5g55760 At5g55930 At5g64110 8B. Genes showing negative correlation between transcript abundance and trait value At1g05550 At1g06500 At1g06580 At1g10320 At1g10980 At1g16170 At1g21080 At1g24070 At1g29180 At1g30880 At1g32310 At1g33055 At1g59900 At1g61810 At1g63780 At1g63850 At1g65560 At1g66130 At1g67830 At1g70430 At1g72260 At1g76720 At2g01090 At2g17550 At2g18100 At2g20490 At2g20515 At2g20585 At2g21090 At2g21860 At2g31840 At2g32160 At2g36570 At3g06470 At3g07080 At3g11410 At3g14150 At3g15900 At3g18940 At3g22210 At3g23325 At3g24660 At3g26240 At3g44600 At3g44890 At3g50380 At3g51780 At3g52090 At3g53110 At3g53390 At3g54290 At3g57860 At3g62080 At3g62860 At4g01330 At4g02210 At4g03070 At4g05450 At4g10320 At4g14870 At4g14890 At4g14960 At4g16830 At4g17410 At4g18975 At4g23870 At4g26170 At4g35240 At4g35880 At4g36380 At5g07640 At5g08540 At5g11310 At5g13970 At5g17010 At5g17100 At5g19830 At5g22290 At5g23330 At5g25120 At5g25180 At5g26270 At5g41970 At5g47550 At5g47760 At5g48580 At5g48760 At5g49190 At5g49500 At5g50950 At5g51660 At5g64650 At5g65010 18:3 = linolenic acid 18:1 = oleic acid

TABLE 9 Genes with transcript abundance correlating with ratio of 18:3/18:2 fatty acids in seed oil (vernalised plants); Transcript ID (AGI code) 9A. Genes showing positive correlation between transcript abundance and trait value At1g01370 At1g01530 At1g02300 At1g02710 At1g03420 At1g05650 At1g08170 At1g11940 At1g13280 At1g13810 At1g15050 At1g20810 At1g20980 At1g21710 At1g22200 At1g23670 At1g23890 At1g27210 At1g33880 At1g44960 At1g51430 At1g51980 At1g57760 At1g57780 At1g59740 At1g60300 At1g60560 At1g62630 At1g62770 At1g66520 At1g66620 At1g70830 At1g71690 At1g77490 At1g79000 At1g79060 At2g02590 At2g02770 At2g07050 At2g07702 At2g11270 At2g15790 At2g18115 At2g19310 At2g28100 At2g28160 At2g32330 At2g34310 At2g35890 At2g38140 At2g39700 At2g41600 At2g43320 At2g44100 At2g45150 At2g45710 At2g45920 At2g46640 At2g47600 At3g05520 At3g09140 At3g10810 At3g11090 At3g12920 At3g14780 At3g16370 At3g18060 At3g18270 At3g22710 At3g22850 At3g22880 At3g27325 At3g28090 At3g29770 At3g31415 At3g43960 At3g45440 At3g46670 At3g48730 At3g59860 At3g61160 At3g61170 At3g62430 At4g01350 At4g07420 At4g11835 At4g12300 At4g12510 At4g17650 At4g18460 At4g18593 At4g18820 At4g20140 At4g23300 At4g25570 At4g31870 At4g32960 At4g33160 At4g35530 At4g37220 At4g39390 At5g03730 At5g05840 At5g05890 At5g07250 At5g08280 At5g17210 At5g18390 At5g20590 At5g22500 At5g22860 At5g26140 At5g26180 At5g28620 At5g28940 At5g35490 At5g38120 At5g40230 At5g43070 At5g45120 At5g45320 At5g46630 At5g47400 At5g49630 At5g51080 At5g51230 At5g51960 At5g56370 At5g57345 At5g59660 At5g62030 At5g64110 At5g64970 At5g65100 At5g66985 cox1 orf154 9B. Genes showing negative correlation between transcript abundance and trait value At1g02500 At1g02780 At1g03710 At1g06500 At1g06520 At1g12750 At1g13090 At1g14930 At1g14990 At1g15200 At1g19340 At1g22500 At1g22630 At1g26170 At1g28060 At1g29850 At1g30530 At1g31340 At1g32310 At1g47480 At1g50140 At1g52040 At1g53590 At1g54250 At1g59670 At1g59900 At1g60710 At1g62560 At1g63540 At1g64140 At1g64900 At1g66690 At1g67860 At1g72510 At1g73177 At1g74880 At1g76260 At1g76560 At1g76890 At1g77540 At1g77600 At1g78080 At1g78750 At1g78780 At1g79430 At1g80170 At2g15630 At2g19740 At2g19850 At2g20490 At2g21640 At2g22920 At2g25670 At2g25970 At2g27360 At2g28200 At2g28450 At2g29070 At2g29120 At2g30000 At2g36750 At2g37585 At2g39910 At2g40010 At2g45930 At2g47250 At2g48020 At3g01860 At3g03610 At3g06110 At3g06790 At3g07230 At3g09480 At3g11410 At3g12090 At3g13490 At3g13800 At3g15900 At3g16080 At3g17770 At3g18940 At3g21250 At3g22210 At3g23325 At3g25220 At3g25740 At3g28700 At3g31910 At3g44890 At3g46490 At3g47320 At3g48860 At3g51780 At3g53390 At3g53500 At3g53630 At3g53890 At3g54260 At3g55005 At3g55630 At3g56900 At3g57180 At3g59810 At3g61100 At3g61980 At3g62040 At4g02075 At4g03240 At4g04620 At4g05450 At4g10120 At4g13195 At4g14020 At4g14350 At4g14615 At4g15230 At4g17410 At4g18330 At4g18780 At4g19850 At4g21090 At4g22380 At4g25890 At4g29230 At4g29550 At4g30220 At4g30290 At4g30760 At4g31310 At4g31985 At4g32240 At4g35240 At4g37150 At5g02610 At5g02670 At5g03455 At5g03540 At5g04420 At5g04850 At5g05680 At5g07370 At5g07690 At5g08535 At5g08540 At5g13970 At5g16040 At5g17930 At5g25120 At5g28080 At5g28500 At5g39550 At5g40540 At5g45840 At5g47050 At5g47540 At5g48110 At5g48580 At5g49530 At5g50915 At5g50940 At5g50950 At5g51010 At5g51820 At5g55560 At5g57160 At5g58520 At5g59460 At5g61450 At5g61830 At5g62290 At5g63590 At5g64140 At5g64190 At5g66530 18:3 = linolenic acid 18:2 = linoleic acid

TABLE 10 Genes with transcript abundance correlating with ratio of 20C + 22C/16C + 18C fatty acids in seed oil (vernalised plants); Transcript ID (AGI code) 10A. Genes showing positive correlation between transcript abundance and trait value At1g01370 At1g03420 At1g04790 At1g06730 At1g09850 At1g11800 At1g21690 At1g43650 At1g49200 At1g50660 At1g53460 At1g53850 At1g55120 At1g60390 At1g62150 At1g69670 At1g79060 At1g79460 At1g79970 At2g25450 At2g35155 At2g40070 At2g40480 At2g45710 At2g46710 At2g47380 At3g04680 At3g09710 At3g10650 At3g14240 At3g26090 At3g26310 At3g26380 At3g29770 At3g44500 At3g56060 At3g57880 At4g13360 At4g14090 At4g24390 At4g26555 At4g31570 At4g35900 At5g05230 At5g05370 At5g10400 At5g17210 At5g23940 At5g24280 At5g24520 At5g25940 At5g37290 At5g38630 At5g40880 At5g47320 At5g52410 At5g54860 At5g55810 10B. Genes showing negative correlation between transcript abundance and trait value At1g02410 At1g02475 At1g02500 At1g05350 At1g05360 At1g07260 At1g17310 At1g17970 At1g21110 At1g21190 At1g21350 At1g22520 At1g22910 At1g27000 At1g32050 At1g32070 At1g32310 At1g33330 At1g33600 At1g34580 At1g35650 At1g44750 At1g47480 At1g47920 At1g49240 At1g50630 At1g51940 At1g53650 At1g58300 At1g59900 At1g60810 At1g60970 At1g61400 At1g62090 At1g64150 At1g66540 At1g66645 At1g72920 At1g73120 At1g73250 At1g73940 At1g74620 At1g77590 At1g77960 At1g77970 At1g78750 At1g79890 At1g80640 At1g80700 At2g02500 At2g02960 At2g05950 At2g14170 At2g15560 At2g15930 At2g16750 At2g17265 At2g19800 At2g19950 At2g21070 At2g22570 At2g23360 At2g24610 At2g28850 At2g28930 At2g29680 At2g30000 At2g30270 At2g32160 At2g34690 At2g35520 At2g38220 At2g40010 At2g41830 At2g45740 At2g46730 At3g01520 At3g01860 At3g04610 At3g06100 At3g06110 At3g08990 At3g09530 At3g11400 At3g11500 At3g11780 At3g13450 At3g15150 At3g17690 At3g19515 At3g22690 At3g24030 At3g27050 At3g27920 At3g42120 At3g44020 At3g44890 At3g45430 At3g46370 At3g46770 At3g46840 At3g48720 At3g48860 At3g50050 At3g55005 At3g59180 At3g61950 At3g63310 At3g63330 At4g00030 At4g00234 At4g00950 At4g01410 At4g02500 At4g02790 At4g02850 At4g02960 At4g04110 At4g05460 At4g11820 At4g12310 At4g14100 At4g19100 At4g19490 At4g19500 At4g19520 At4g19550 At4g21410 At4g22330 At4g24950 At4g29380 At4g31720 At4g32240 At4g33330 At4g34265 At4g38240 At4g38980 At5g01970 At5g02010 At5g02610 At5g03090 At5g03220 At5g05060 At5g08535 At5g08540 At5g14680 At5g16980 At5g25530 At5g27410 At5g33250 At5g35260 At5g35740 At5g36890 At5g37330 At5g42310 At5g43330 At5g44880 At5g44910 At5g45490 At5g45550 At5g45680 At5g46540 At5g49080 At5g50130 At5g51010 At5g51820 At5g52070 At5g52430 At5g58120 At5g60710 16C fatty acid = palmitic 18C fatty acids = oleic, stearic, linoleic, linolenic 20C fatty acids = eicosenoic 22C fatty acids = erucic

TABLE 11 Genes with transcript abundance showing correlation with ratio of (ratio of 20C + 22C/16C + 18C fatty acids in seed oil (vernalised plants))/(ratio of 20C + 22C/16C + 18C fatty acids in seed oil (unvernalised plants)); transcript ID (AGI code) 11A. Genes showing positive correlation between transcript abundance and trait value At1g01230 At1g02190 At1g02500 At1g02780 At1g02840 At1g03710 At1g06500 At1g06520 At1g06530 At1g10360 At1g11070 At1g12750 At1g13090 At1g13680 At1g14930 At1g15200 At1g17100 At1g19340 At1g22160 At1g22480 At1g22500 At1g23390 At1g26170 At1g27980 At1g28060 At1g29050 At1g29850 At1g30490 At1g30530 At1g31340 At1g31580 At1g32310 At1g32770 At1g37826 At1g52040 At1g52690 At1g52760 At1g53280 At1g53590 At1g54250 At1g55950 At1g56075 At1g59660 At1g59670 At1g59900 At1g60710 At1g62250 At1g62560 At1g63540 At1g64140 At1g64270 At1g64360 At1g64370 At1g64900 At1g66690 At1g67860 At1g68440 At1g69510 At1g69750 At1g70480 At1g72510 At1g73177 At1g73640 At1g74590 At1g74880 At1g76260 At1g76560 At1g76890 At1g77540 At1g77590 At1g77600 At1g78080 At1g78750 At1g78780 At1g79430 At1g80020 At1g80170 At2g01520 At2g01610 At2g06480 At2g14120 At2g14730 At2g15630 At2g18600 At2g19850 At2g19930 At2g20490 At2g21290 At2g21640 At2g21890 At2g22920 At2g25670 At2g25970 At2g27360 At2g28110 At2g28200 At2g28450 At2g29070 At2g29120 At2g32860 At2g33990 At2g36130 At2g36750 At2g36850 At2g37430 At2g37585 At2g38080 At2g38600 At2g39910 At2g40010 At2g44850 At2g45930 At2g47250 At2g47640 At2g48020 At3g01860 At3g02800 At3g03610 At3g04630 At3g06110 At3g06720 At3g06790 At3g07230 At3g07590 At3g08030 At3g09310 At3g09410 At3g09480 At3g10340 At3g11410 At3g12090 At3g13490 At3g13800 At3g14120 At3g15352 At3g15900 At3g16080 At3g16920 At3g17770 At3g18940 At3g20100 At3g20430 At3g21250 At3g22210 At3g22220 At3g22370 At3g22540 At3g22740 At3g25220 At3g25740 At3g26130 At3g28700 At3g29180 At3g29787 At3g31910 At3g44890 At3g45270 At3g46490 At3g46590 At3g47320 At3g47990 At3g48860 At3g49600 At3g50380 At3g51780 At3g52590 At3g53390 At3g53630 At3g53890 At3g54260 At3g54290 At3g55005 At3g55630 At3g56730 At3g56900 At3g57180 At3g57320 At3g59810 At3g60170 At3g60245 At3g60650 At3g61100 At3g61980 At3g62040 At4g00390 At4g02020 At4g02075 At4g03156 At4g04620 At4g04900 At4g05450 At4g09480 At4g10120 At4g12470 At4g13180 At4g13195 At4g14020 At4g14060 At4g14350 At4g14615 At4g15230 At4g15490 At4g15660 At4g17410 At4g18330 At4g18780 At4g19850 At4g21090 At4g21590 At4g22350 At4g22380 At4g22760 At4g24130 At4g25890 At4g27580 At4g29230 At4g29550 At4g30110 At4g30220 At4g30290 At4g31310 At4g31985 At4g32240 At4g32710 At4g35240 At4g35940 At4g36190 At4g37150 At4g37470 At4g37970 At4g39320 At5g01360 At5g02610 At5g03455 At5g03540 At5g03590 At5g04420 At5g04850 At5g05680 At5g06710 At5g07370 At5g07690 At5g08100 At5g08535 At5g08540 At5g08600 At5g09480 At5g10210 At5g10550 At5g11630 At5g13970 At5g16040 At5g17420 At5g17930 At5g18880 At5g20740 At5g24290 At5g25120 At5g28080 At5g28500 At5g28910 At5g29090 At5g39550 At5g40540 At5g40930 At5g42180 At5g42980 At5g43860 At5g45010 At5g45840 At5g47050 At5g47540 At5g48110 At5g48870 At5g49250 At5g49530 At5g50915 At5g50940 At5g50950 At5g51010 At5g51820 At5g52040 At5g53460 At5g54250 At5g55560 At5g57160 At5g58520 At5g58710 At5g59460 At5g59780 At5g60490 At5g61310 At5g61830 At5g62290 At5g63320 At5g63590 At5g64190 At5g65530 At5g66530 11B. Genes showing negative correlation between transcript abundance and trait value At1g02300 At1g02710 At1g03420 At1g05650 At1g08170 At1g08770 At1g11940 At1g13280 At1g13810 At1g15050 At1g20810 At1g20980 At1g21710 At1g22200 At1g27210 At1g33880 At1g44960 At1g51430 At1g51980 At1g55130 At1g57760 At1g57780 At1g59520 At1g59740 At1g60560 At1g62050 At1g62630 At1g66620 At1g69450 At1g70830 At1g71690 At1g77490 At1g79000 At1g79060 At2g02770 At2g07050 At2g07702 At2g15790 At2g15810 At2g19310 At2g23180 At2g23560 At2g28100 At2g28160 At2g32330 At2g33540 At2g34310 At2g35780 At2g35890 At2g38140 At2g39700 At2g41600 At2g42590 At2g43130 At2g43320 At2g44100 At2g45150 At2g45710 At2g46640 At2g47600 At3g02290 At3g05520 At3g05750 At3g06710 At3g10810 At3g11090 At3g12920 At3g14780 At3g16370 At3g18060 At3g18270 At3g22710 At3g22850 At3g22880 At3g22990 At3g27325 At3g28090 At3g29770 At3g43510 At3g43960 At3g46510 At3g46670 At3g48730 At3g61160 At3g61170 At3g62430 At4g00860 At4g01350 At4g02610 At4g04750 At4g10780 At4g11835 At4g11900 At4g12300 At4g12510 At4g17650 At4g18460 At4g18593 At4g18820 At4g20140 At4g23300 At4g25570 At4g28740 At4g31870 At4g32960 At4g35530 At4g39390 At5g03730 At5g05840 At5g05890 At5g07250 At5g08280 At5g14800 At5g17210 At5g17570 At5g18390 At5g20590 At5g22860 At5g26180 At5g28940 At5g35490 At5g38120 At5g38310 At5g40230 At5g43070 At5g45320 At5g46630 At5g47400 At5g49630 At5g51080 At5g51230 At5g51960 At5g53580 At5g57345 At5g59660 At5g62030 At5g64110 orf154 16C fatty acid = palmitic 18C fatty acids = oleic, stearic, linoleic, linolenic 20C fatty acids = eicosenoic 22C fatty acids = erucic

TABLE 12 Genes with transcript abundance correlating with ratio of polyunsaturated/monounsaturated + saturated 18C fatty acids in seed oil (vernalised plants) 12A. Genes showing positive correlation between transcript abundance and trait value At1g15490 At1g33560 At1g34220 At1g49030 At1g59620 At1g74650 At1g78210 At2g03680 At2g27090 At2g35736 At2g38010 At3g01720 At3g05210 At3g13840 At3g16520 At3g19930 At3g49360 At3g51580 At3g59660 At4g02450 At4g10150 At4g12020 At4g13050 At4g17390 At4g22840 At4g24940 At5g13890 At5g17060 At5g18400 At5g20180 At5g38980 At5g49540 At5g58910 12B. Genes showing negative correlation between transcript abundance and trait value At1g02050 At1g05550 At1g06580 At1g08560 At1g10980 At1g13250 At1g15280 At1g29180 At1g33055 At1g34030 At1g51950 At1g52800 At1g52810 At1g60190 At1g60390 At1g60800 At1g61810 At1g62500 At1g63780 At1g64105 At1g65560 At1g66180 At1g66900 At1g67590 At1g67830 At1g69690 At1g76320 At2g20360 At2g20585 At2g21860 At2g25900 At2g27970 At2g36490 At2g39450 At2g39870 At2g40570 At2g41370 At2g44860 At3g02500 At3g07200 At3g07270 At3g11420 At3g14150 At3g14240 At3g24660 At3g27420 At3g44010 At3g44600 At3g53110 At3g53230 At3g55610 At3g57860 At3g60520 At4g00600 At4g00930 At4g03050 At4g03070 At4g12600 At4g12880 At4g15780 At4g17560 At4g20070 At4g21650 At4g22160 At4g26170 At4g36380 At4g36740 At5g07000 At5g07030 At5g09630 At5g17100 At5g18070 At5g25180 At5g25590 At5g26230 At5g26270 At5g40150 At5g46160 At5g47760 At5g48760 At5g49190 At5g51660 At5g52230 At5g54190 At5g63860 Polyunsaturated 18C fatty acids = linoleic, linolenic Monounsaturated 18C fatty acid = oleic Saturated 18C fatty acid = stearic

TABLE 13 Genes with transcript abundance showing correlation with ratio of (ratio of polyunsaturated/monounsaturated + saturated 18C fatty acids in seed oil (vernalised plants))/ (ratio of polyunsaturated/monounsaturated + saturated 18C fatty acids in seed oil (unvernalised plants)); Transcript ID (AGI code) 13A. Genes showing positive correlation between transcript abundance and trait value At1g05040 At1g06225 At1g06650 At1g07640 At1g09740 At1g14340 At1g15410 At1g23130 At1g23880 At1g24490 At1g24530 At1g29410 At1g31240 At1g33265 At1g33790 At1g33900 At1g34400 At1g45180 At1g52590 At1g56270 At1g61090 At1g61180 At1g62540 At1g64190 At1g65330 At1g67910 At1g70870 At1g71140 At1g73630 At1g77070 At1g77310 At1g78720 At1g79460 At1g79640 At1g80190 At2g01350 At2g02080 At2g04520 At2g07550 At2g13570 At2g15040 At2g17600 At2g19110 At2g23560 At2g30695 At2g39750 At2g40313 At2g40980 At2g44740 At2g47300 At2g47340 At3g01510 At3g03780 At3g05165 At3g06060 At3g16190 At3g16500 At3g19490 At3g20390 At3g20950 At3g22850 At3g23570 At3g47750 At3g48730 At3g52750 At3g58830 At3g61160 At3g62580 At4g07960 At4g10470 At4g10920 At4g11560 At4g13050 At4g15440 At4g17180 At4g18810 At4g19470 At4g19770 At4g19985 At4g23920 At4g24940 At4g31920 At4g34480 At4g39560 At4g39660 At5g01690 At5g04740 At5g04750 At5g07580 At5g07630 At5g10140 At5g16140 At5g17210 At5g24230 At5g28410 At5g38360 At5g39080 At5g40670 At5g43830 At5g46030 At5g48800 At5g50250 At5g50970 At5g54095 At5g56185 At5g63020 At5g63150 At5g63370 At5g64630 At5g64830 At5g67060 orf107g 13B. Genes showing negative correlation between transcript abundance and trait value At1g02500 At1g03430 At1g18570 At1g23750 At1g28670 At1g30530 At1g32310 At1g52550 At1g59840 At1g59900 At1g66970 At1g68560 At1g78970 At2g04550 At2g21830 At2g22425 At2g2g120 At2g29320 At2g29570 At2g35950 At3g01560 At3g01740 At3g01850 At3g04670 At3g09310 At3g10930 At3g17890 At3g17940 At3g19520 At3g20480 At3g23880 At3g26470 At3g27340 At3g44890 At3g45240 At3g46590 At3g47990 At3g50000 At3g50380 At3g51610 At3g52310 At3g53390 At3g55005 At3g58460 At3g61100 At3g62860 At4g01330 At4g01400 At4g02420 At4g02500 At4g02530 At4g05460 At4g08470 At4g10710 At4g14350 At4g15420 At4g15620 At4g16760 At4g18260 At4g19530 At4g23880 At5g01650 At5g04380 At5g23420 At5g24450 At5g25020 At5g25120 At5g40450 At5g42310 At5g42720 At5g44450 At5g45490 At5g45800 At5g49500 At5g50350 At5g57160 Polyunsaturated 18C fatty acids = linoleic, linolenic Monounsaturated 18C fatty acid = oleic Saturated 18C fatty acid = stearic

TABLE 14 Genes with transcript abundance showing correlation with % 16:0 fatty acid in seed oil (vernalised plants); Transcript ID (AGI code) 14A. Genes showing positive correlation between transcript abundance and trait value At1g03300 At1g74170 At2g41760 At3g60350 At5g10820 At1g03420 At1g74180 At2g42750 At3g60980 At5g13740 At1g04640 At1g75490 At2g43180 At3g61160 At5g15680 At1g08170 At1g78460 At2g45050 At3g61200 At5g17210 At1g13980 At1g79000 At2g48100 At3g61600 At5g19050 At1g20640 At1g80600 At3g01330 At3g63440 At5g20150 At1g22200 At1g80660 At3g02700 At4g00500 At5g22000 At1g24420 At1g80920 At3g04350 At4g00730 At5g22700 At1g25260 At2g05540 At3g04800 At4g02970 At5g24410 At1g27210 At2g05980 At3g05250 At4g03970 At5g25040 At1g28960 At2g07240 At3g11210 At4g04870 At5g27400 At1g33170 At2g07675 At3g11760 At4g10020 At5g35330 At1g33880 At2g07687 At3g12820 At4g11530 At5g38080 At1g34110 At2g07702 At3g14750 At4g12300 At5g38310 At1g35340 At2g07741 At3g15095 At4g13800 At5g38895 At1g35420 At2g11270 At3g15120 At4g16960 At5g38930 At1g36060 At2g15040 At3g15290 At4g18593 At5g39020 At1g47330 At2g15230 At3g15840 At4g18600 At5g41850 At1g47750 At2g15880 At3g16750 At4g20360 At5g41870 At1g48380 At2g18115 At3g17280 At4g26200 At5g42030 At1g52420 At2g18190 At3g18215 At4g28130 At5g44240 At1g52920 At2g19310 At3g20090 At4g30993 At5g47410 At1g52990 At2g19340 At3g20930 At4g32960 At5g50565 At1g53290 At2g22170 At3g21420 At4g33500 At5g50600 At1g54710 At2g23170 At3g22880 At4g33570 At5g51080 At1g56150 At2g23560 At3g25900 At4g35530 At5g51980 At1g61730 At2g25850 At3g26040 At4g37590 At5g53430 At1g63690 At2g27190 At3g26380 At4g40050 At5g54730 At1g64230 At2g27620 At3g27990 At5g01670 At5g55540 At1g65950 At2g29860 At3g29650 At5g02540 At5g55870 At1g66570 At2g35155 At3g46900 At5g03730 At5g65250 At1g66980 At2g35690 At3g49210 At5g05080 At5g65380 At1g67960 At2g37120 At3g53800 At5g05290 At5g66040 At1g70300 At2g38180 At3g55850 At5g05690 ndhG At1g71000 At2g40070 At3g57270 At5g05700 ndhJ At1g72650 At2g40970 At3g57470 At5g05750 orf111d At1g73480 At2g41340 At3g60040 At5g05890 orf262 At1g73680 At2g41430 At3g60290 At5g06130 petD 14B. Genes showing negative correlation between transcript abundance and trait value At1g02500 At1g66200 At2g36880 At3g48130 At5g20110 At1g04040 At1g69250 At2g37020 At3g48720 At5g22630 At1g05760 At1g69700 At2g37110 At3g49720 At5g23540 At1g06410 At1g72450 At2g37400 At3g51780 At5g23750 At1g08580 At1g75390 At2g39560 At3g52500 At5g25920 At1g12310 At1g75590 At2g40010 At3g52900 At5g26330 At1g14780 At1g75780 At2g40230 At3g54430 At5g27990 At1g17620 At1g75840 At2g40660 At3g54980 At5g36890 At1g22710 At1g76260 At2g41830 At3g63200 At5g37330 At1g27000 At1g76550 At2g43290 At4g01100 At5g40770 At1g27700 At1g77970 At2g44745 At4g05530 At5g42150 At1g29310 At1g77990 At2g46730 At4g14350 At5g45550 At1g30510 At1g78090 At3g05020 At4g18570 At5g45650 At1g30690 At2g04780 At3g05230 At4g20120 At5g46280 At1g31340 At2g15860 At3g05490 At4g20410 At5g47210 At1g31660 At2g16280 At3g06160 At4g21090 At5g47540 At1g32050 At2g17670 At3g06510 At4g28780 At5g49510 At1g32450 At2g19540 At3g06930 At4g31480 At5g50740 At1g35670 At2g20270 At3g08990 At4g34870 At5g54900 At1g44800 At2g21580 At3g12370 At4g35510 At5g56350 At1g48830 At2g22470 At3g15150 At4g37190 At5g56950 At1g50010 At2g22475 At3g15260 At4g39280 At5g58030 At1g50500 At2g28510 At3g16340 At5g02740 At5g59290 At1g52040 At2g28760 At3g16760 At5g06160 At5g61660 At1g52910 At2g29070 At3g17780 At5g06190 At5g62165 At1g54830 At2g29540 At3g19590 At5g11630 At5g65710 At1g56170 At2g33430 At3g21020 At5g14680 At1g57620 At2g33620 At3g23620 At5g18280 At1g63000 At2g35120 At3g25220 At5g18690 At1g65010 At2g36620 At3g27200 At5g19910 16:0 = palmitic acid

TABLE 15 Genes with transcript abundance correlating with % 18:1 fatty acid in seed oil (vernalised plants); Transcript ID (AGI code) 15A. Genes showing positive correlation between transcript abundance and trait value At1g05550 At1g67830 At3g14150 At4g20030 At5g18070 At1g06580 At1g69690 At3g19590 At4g20070 At5g19830 At1g08560 At1g70430 At3g24450 At4g21650 At5g23420 At1g10320 At1g72260 At3g24660 At4g22620 At5g25180 At1g10980 At1g74690 At3g26240 At4g23870 At5g25920 At1g13250 At1g75110 At3g28345 At4g28040 At5g26230 At1g15280 At2g01090 At3g44010 At4g30910 At5g26270 At1g21080 At2g17550 At3g44600 At4g32130 At5g40150 At1g23750 At2g19370 At3g48130 At4g35880 At5g41970 At1g29180 At2g20360 At3g53110 At4g36380 At5g47550 At1g33055 At2g20585 At3g53170 At4g36740 At5g47760 At1g34030 At2g21860 At3g54680 At5g06160 At5g48470 At1g51950 At2g25900 At3g57860 At5g06190 At5g48760 At1g52800 At2g32160 At3g60880 At5g07000 At5g49190 At1g52810 At2g36490 At3g62860 At5g07030 At5g49500 At1g61810 At2g37050 At4g00600 At5g07640 At5g50950 At1g62500 At2g39870 At4g01330 At5g08540 At5g51660 At1g63780 At2g41370 At4g03050 At5g10390 At5g54190 At1g64105 At2g44230 At4g03070 At5g11310 At5g58300 At1g65560 At3g02500 At4g12600 At5g13970 At5g63860 At1g66130 At3g06470 At4g12880 At5g14070 At5g64650 At1g67590 At3g08680 At4g15070 At5g17100 At5g65010 15B. Genes showing negative correlation between transcript abundance and trait value At1g04985 At2g27090 At3g51580 At5g05750 At5g39940 At1g15490 At2g35736 At3g59660 At5g08590 At5g44290 At1g26530 At2g38010 At4g02450 At5g11270 At5g47580 At1g28030 At3g01930 At4g12020 At5g13890 At5g49540 At1g33560 At3g05210 At4g12300 At5g16250 At5g55760 At1g49030 At3g16520 At4g13050 At5g18400 At1g59620 At3g17300 At4g17390 At5g20180 At1g76520 At3g20900 At4g24940 At5g23010 At1g78210 At3g49360 At4g32870 At5g27760 18:1 = oleic acid

TABLE 16 Genes with transcript abundance correlating with % 18:2 fatty acid in seed oil (vernalised plants); Transcript ID (AGI code) 16A. Genes showing positive correlation between transcript abundance and trait value At1g02500 At1g65000 At2g44850 At3g54260 At5g04420 At1g06500 At1g67860 At2g46730 At3g54420 At5g06730 At1g10460 At1g72510 At3g01860 At3g55005 At5g07370 At1g11880 At1g73177 At3g02800 At3g55630 At5g08535 At1g13090 At1g73940 At3g03360 At3g57180 At5g08540 At1g13750 At1g74590 At3g05320 At3g61980 At5g08600 At1g14780 At1g76890 At3g06110 At4g00030 At5g09480 At1g14990 At1g77590 At3g07230 At4g01190 At5g11600 At1g19340 At1g77600 At3g08990 At4g01410 At5g16040 At1g21100 At1g78750 At3g09410 At4g02960 At5g16980 At1g21110 At1g79890 At3g09870 At4g03240 At5g19560 At1g21190 At1g79950 At3g10525 At4g04620 At5g27410 At1g22520 At1g80170 At3g11400 At4g09900 At5g28500 At1g23120 At1g80700 At3g15150 At4g10120 At5g38530 At1g26170 At2g01120 At3g15352 At4g10955 At5g38980 At1g30530 At2g02500 At3g17690 At4g11820 At5g39550 At1g32050 At2g02960 At3g19515 At4g12310 At5g42310 At1g32450 At2g05950 At3g20430 At4g13180 At5g43330 At1g33600 At2g13750 At3g22690 At4g14615 At5g45190 At1g34210 At2g13770 At3g22930 At4g15230 At5g47050 At1g34740 At2g15560 At3g24050 At4g15260 At5g47540 At1g35143 At2g15650 At3g27610 At4g18780 At5g48110 At1g35650 At2g17265 At3g27920 At4g19100 At5g50940 At1g42705 At2g21640 At3g28700 At4g19850 At5g51010 At1g47480 At2g22920 At3g30720 At4g21090 At5g51820 At1g47870 At2g27360 At3g30810 At4g25890 At5g53360 At1g50630 At2g28200 At3g31910 At4g27580 At5g55560 At1g52040 At2g28450 At3g44890 At4g29230 At5g56700 At1g52760 At2g29070 At3g46840 At4g32240 At5g57160 At1g54250 At2g30000 At3g48720 At4g34120 At5g57300 At1g55850 At2g35585 At3g48860 At4g37150 t5g61450 At1g59670 At2g37585 At3g48920 At5g01360 At5g61830 At1g59900 At2g37970 At3g50050 At5g02010 At5g64816 At1g60710 At2g37975 At3g53630 At5g02610 At5g66380 At1g62860 At2g40010 At3g53650 At5g03090 At5g66530 At1g63540 At2g41830 At3g53720 At5g03540 16B. Genes showing negative correlation between transcript abundance and trait value At1g01370 At1g66250 At2g34560 At3g56060 At5g05370 At1g02300 At1g66520 At2g39700 At3g57830 At5g08280 At1g02710 At1g68810 At2g40070 At3g57880 At5g17210 At1g03420 At1g70830 At2g41600 At3g60350 At5g17220 At1g04790 At1g71690 At2g43130 At3g61160 At5g18390 At1g06730 At1g79000 At2g44740 At3g62430 At5g22700 At1g11800 At1g79060 At2g44760 At4g00340 At5g24280 At1g12250 At1g79460 At2g45710 At4g01350 At5g24760 At1g15050 At1g80530 At3g05520 At4g12300 At5g26110 At1g20930 At2g04700 At3g07200 At4g12510 At5g26180 At1g20980 At2g06255 At3g11090 At4g13360 At5g28940 At1g21690 At2g07702 At3g11760 At4g13980 At5g35490 At1g21710 At2g15790 At3g14240 At4g17560 At5g38120 At1g22200 At2g17450 At3g18060 At4g17650 At5g45320 At1g28440 At2g18990 At3g22850 At4g24390 At5g51080 At1g47750 At2g23560 At3g26070 At4g26555 At5g52230 At1g50660 At2g28100 At3g26310 At4g31870 At5g55810 At1g53460 At2g29995 At3g26990 At4g32960 At5g59130 At1g55130 At2g32990 At3g29770 At4g35900 At5g59330 At1g57760 At2g33540 At3g48040 At4g39230 At5g63180 At1g62050 At2g34310 At3g55480 At5g05230 At5g64110 18:2 = linoleic acid

TABLE 17 Genes with transcript abundance correlating with % 18:3 fatty acid in seed oil (vernalised plants); Transcript ID (AGI code) 17A. Genes showing positive correlation between transcript abundance and trait value At1g05060 At1g64230 At3g11090 At4g15960 At5g28940 At1g08170 At1g69450 At3g14780 At4g18460 At5g35350 At1g13280 At1g71800 At3g17840 At4g18593 At5g38310 At1g13580 At1g74290 At3g18270 At4g18820 At5g38460 At1g13810 At1g77140 At3g18650 At4g23300 At5g39790 At1g14660 At1g77490 At3g20230 At4g25570 At5g40230 At1g15330 At1g79000 At3g22710 At4g26870 At5g44240 At1g20370 At2g02360 At3g22850 At4g27900 At5g44290 At1g20810 At2g02770 At3g22880 At4g31150 At5g44520 At1g20980 At2g07050 At3g26430 At4g31870 At5g46270 At1g21710 At2g16090 At3g30140 At4g39390 At5g46630 At1g22200 At2g18115 At3g43790 At4g39920 At5g47400 At1g23890 At2g32330 At3g48730 At4g39930 At5g47410 At1g33265 At2g35890 At3g53680 At5g03290 At5g49630 At1g33880 At2g41600 At3g53900 At5g05840 At5g51960 At1g51430 At2g43180 At3g56590 At5g05890 At5g55760 At1g51980 At2g43320 At3g61480 At5g07250 At5g59660 At1g57780 At2g44690 At4g01690 At5g08280 At5g63370 At1g59780 At2g45150 At4g01970 At5g17210 At5g63740 At1g61830 At2g45560 At4g11835 At5g17520 At5g64110 At1g63200 At2g46640 At4g11900 At5g18400 orf114 At1g64190 At3g05520 At4g12300 At5g22860 ycf4 17B. Genes showing negative correlation between transcript abundance and trait value At1g02500 At1g76560 At3g09310 At4g02290 At5g07640 At1g05550 At1g76720 At3g10340 At4g03156 At5g08540 At1g06500 At1g77600 At3g11410 At4g04620 At5g09760 At1g06520 At1g78080 At3g12110 At4g05450 At5g13970 At1g06530 At1g78780 At3g12520 At4g09760 At5g16040 At1g07470 At1g78970 At3g13490 At4g10120 At5g16470 At1g09660 At1g79430 At3g14150 At4g10320 At5g18790 At1g10980 At2g01520 At3g15900 At4g12490 At5g19830 At1g13090 At2g15620 At3g16080 At4g13195 At5g24740 At1g13680 At2g18100 At3g20100 At4g14010 At5g25120 At1g14930 At2g18650 At3g21250 At4g14020 At5g25180 At1g15200 At2g19740 At3g22210 At4g14320 At5g27720 At1g18810 At2g20450 At3g22230 At4g14350 At5g35240 At1g18880 At2g20490 At3g23325 At4g14615 At5g40250 At1g21080 At2g20515 At3g25220 At4g16830 At5g42720 At1g23950 At2g20820 At3g25740 At4g17410 At5g45010 At1g24070 At2g21290 At3g26240 At4g18750 At5g45840 At1g26170 At2g21640 At3g29180 At4g21590 At5g47540 At1g28060 At2g21890 At3g46490 At4g22380 At5g47550 At1g29180 At2g23090 At3g47370 At4g23870 At5g47760 At1g29850 At2g25670 At3g47990 At4g25890 At5g48580 At1g30530 At2g25970 At3g48130 At4g26230 At5g49190 At1g33055 At2g26460 At3g49600 At4g26790 At5g49500 At1g50140 At2g27360 At3g50380 At4g29230 At5g49970 At1g52040 At2g28450 At3g51780 At4g29550 At5g50915 At1g52690 At2g29070 At3g52590 At4g30220 At5g50950 At1g53030 At2g29120 At3g53260 At4g30290 At5g51390 At1g54250 At2g36170 At3g53390 At4g31985 At5g51660 At1g59840 At2g36570 At3g53500 At4g35240 At5g52040 At1g59900 At2g41560 At3g53630 At4g35880 At5g53460 At1g61570 At2g41790 At3g53890 At4g35940 At5g57160 At1g61810 At2g47250 At3g54290 At4g36190 At5g58520 At1g63020 At2g47790 At3g55005 At4g36380 At5g59460 At1g63540 At3g03610 At3g56900 At4g37250 At5g61830 At1g64900 At3g04670 At3g58840 At4g39200 At5g64190 At1g66080 At3g05530 At3g59540 At5g01890 At5g64650 At1g66920 At3g06110 At3g62080 At5g03455 At5g65050 At1g72260 At3g06130 At3g62860 At5g04420 At5g65530 At1g74250 At3g06310 At4g02075 At5g04850 At5g65890 At1g74270 At3g06790 At4g02210 At5g05680 At1g74880 At3g08030 At4g02230 At5g06710 18:3 = linolenic acid

TABLE 18 Prediction of complex traits using models based on accession transcriptome data No. genes Accession: Ga-0 Accession: Sorbo Trait in model Measured Predicted Measured Predicted Ranking Flowering time Leaf number - 311 12.00 11.53 9.00 10.36 correct vernalised Leaf number - 339 16.10 18.87 24.20 20.33 correct unvernalised Leaf number - 485 0.75 0.71 0.37 0.61 correct vern/unvern ratio Seed oil content Oil content % - 390 42.18 40.71 38.65 39.55 correct vernalised Seed fatty acid ratios Chain length ratio - 228 0.21 0.21 0.14 0.18 correct vernalised Chain length ratio - 438 1.37 1.35 1.58 1.47 correct vern/unvern Desaturation ratio - 118 3.69 3.88 4.25 4.28 correct vernalised Desaturation ratio - 188 1.08 1.08 0.92 1.07 correct vern/unvern 18:3/18:1 ratio - 151 1.98 2.15 1.91 2.07 correct vernalised 18:3/18:2 ratio - 311 0.73 0.76 0.64 0.70 correct vernalised 18:2/18:1 ratio - 197 2.72 2.86 3.01 3.37 correct vernalised Seed fatty acid absolute content %16:0 - vernalised 337 9.29 10.34 8.37 9.90 correct %18:1 - vernalised 151 11.97 11.83 13.14 11.18 not correct %18:2 - vernalised 288 32.40 32.31 38.38 34.85 correct %18:3 - vernalised 313 23.81 24.36 24.10 24.06 not correct

TABLE 19 Maize genes with transcript abundance in hybrids correlating with heterosis Probe Set ID Representative Public ID 19A. Positive Zm.18469.1.S1_at BM378527 Correlation ZmAffx.448.1.S1_at AI677105 Zm.5324.1.A1_at AI619250 Zm.886.5.S1_a_at BU499802 Zm.5494.1.A1_at AI622241 Zm.17363.1.S1_at CK370960 Zm.1234.1.A1_at BM073436 Zm.11688.1.A1_at CK347476 Zm.695.1.A1_at U37285.1 Zm.12561.1.A1_at AI834417 Zm.17443.1.A1_at CK347379 Zm.11579.2.S1_a_at CF629377 Zm.342.2.A1_at U65948.1 Zm.8950.1.A1_at AY109015.1 Zm.18417.1.A1_at CO528437 Zm.2553.1.A1_a_at BQ619023 Zm.13487.1.A1_at AY108830.1 Zm.13746.1.S1_at CD998898 Zm.8742.1.A1_at BM075443 Zm.17701.1.S1_at CK370965 Zm.2147.1.A1_a_at BM380613 Zm.10826.1.S1_at BQ619411 ZmAffx.501.1.S1_at AI691747 Zm.17970.1.A1_at CK827393 Zm.12592.1.S1_at CA830809 Zm.13810.1.S1_at AB042267.1 Zm.4669.1.S1_at AI737897 ZmAffx.351.1.S1_at AI670538 Zm.5233.1.A1_at CF626276 Zm.9738.1.S1_at BM337426 Zm.8102.1.A1_at CF005906 Zm.6393.4.A1_at BQ048072 Zm.15120.1.A1_at BM078520 Zm.17342.1.S1_at CK370507 Zm.2674.1.A1_at CF045775 Zm.4191.2.S1_a_at BQ547780 Zm.14504.1.A1_at AY107583.1 Zm.6049.3.A1_a_at AI734480 Zm.2100.1.A1_at CD001187 Zm.13795.2.S1_a_at CF042915 Zm.5351.1.S1_at AI619365 Zm.5939.1.A1_s_at AI738346 Zm.2626.1.S1_at AY112337.1 Zm.15454.1.A1_at CD448347 Zm.4692.1.A1_at AI738236 Zm.5502.1.A1_at BM378399 Zm.2758.1.A1_at AW067110 ZmAffx.752.1.S1_at AI712129 Zm.14994.1.A1_at BQ538997 Zm.12748.1.S1_at AW066809 Zm.18006.1.A1_at AW400144 ZmAffx.601.1.A1_at AI715029 Zm.6045.7.A1_at CK347781 Zm.81.1.S1_at AY106090.1 ZmAffx.292.1.S1_at AI670425 Zm.17917.1.A1_at CF629332 ZmAffx.424.1.S1_at AI676856 Zm.6371.1.A1_at AY122273.1 Zm.1125.1.A1_at BI993208 Zm.4758.1.S1_at AY111436.1 Zm.17779.1.S1_at CK370643 Zm.2964.1.S1_s_at AY106674.1 Zm.17937.1.A1_at CO529646 Zm.7162.1.A1_at BM074641 Zm.13402.1.S1_at AF457950.1 Zm.18189.1.S1_at CN844773 Zm.4312.1.A1_at BM266520 Zm.2141.1.A1_at BM347927 Zm.19317.1.S1_at CO521190 Zm.4164.2.A1_at CF627018 Zm.8307.2.A1_a_at CF635305 Zm.16805.2.A1_at CF635679 Zm.19080.1.A1_at CO522397 Zm.1489.1.A1_at CO519391 Zm.13462.1.A1_at CO522224 ZmAffx.191.1.S1_at AI668423 Zm.19037.1.S1_at CA404446 Zm.4109.1.A1_at CD441071 Zm.2588.1.S1_at AI714899 Zm.10920.1.A1_at CA399553 Zm.1710.1.S1_at AY106827.1 Zm.16301.1.S1_at CK787019 Zm.4665.1.A1_at CK370646 Zm.7336.1.A1_at AF371263.1 Zm.16501.1.S1_at AY108566.1 Zm.10223.1.S1_at BM078528 Zm.3030.1.A1_at CA402193 Zm.14027.1.A1_at AW499409 Zm.8796.1.A1_at BG841012 Zm.13732.1.S1_at AY106236.1 Zm.4870.1.A1_a_at CK985786 ZmAffx.555.1.A1_x_at AI714437 Zm.7327.1.A1_at AF289256.1 Zm.2933.1.A1_at AW091233 Zm.949.1.A1_s_at CF624182 Zm.15510.1.A1_at CD441066 Zm.8375.1.A1_at BM080176 Zm.4824.6.S1_a_at AI665566 Zm.612.1.A1_at AF326500.1 Zm.12881.1.A1_at CA401025 Zm.7687.1.A1_at BM072867 Zm.10587.1.A1_at AY107155.1 Zm.17807.1.S1_at CK371584 Zm.3947.1.S1_at BE510702 Zm.6626.1.A1_at AI491257 Zm.1527.2.A1_a_at BM078218 Zm.6856.1.A1_at AI065480 ZmAffx.1477.1.S1_at 40794996-104 Zm.12588.1.S1_at CO530559 Zm.15817.1.A1_at D87044.1 Zm.16278.1 A1_at CO532740 Zm.18877.1.A1_at CO529651 Zm.2090.1.A1_at AI691653 Zm.5160.1.A1_at CD995815 Zm.17651.1.A1_at CF043781 Zm.15722.2.A1_at CA404232 Zm.5456.1.A1_at AI622004 Zm.13992.1.A1_at CK827024 Zm.3105.1.S1_at AY108981.1 ZmAffx.941.1.S1_at AI820356 Zm.3913.1.A1_at CF000034 Zm.1657.1.A1_at BG842419 Zm.13200.1.A1_at CF635119 Zm.18789.1.S1_at CO525842 Zm.10090.1.A1_at BM382713 Zm.312.1.A1_at S72425.1 Zm.9118.1.A1_at BM336433 Zm.9117.1.A1_at CF636944 Zm.610.1.A1_at AF326498.1 Zm.5725.1.A1_at CK986059 Zm.6805.1.S1_a_at BG266504 Zm.1621.1.S1_at AY107628.1 Zm.1997.1.A1_at BM075855 ZmAffx.1086.1.S1_at AW018229 Zm.17377.1.A1_at CK144565 Zm.15822.1.S1_at AY313901.1 Zm.5486.1.A1_at AI629867 Zm.4469.1.S1_at AI734281 Zm.8620.1.S1_at BM073355 Zm.18031.1.A1_at CK985574 Zm.13597.1.A1_at CF630886 Zm.75.2.S1_at CK371662 Zm.4327.1.S1_at BI993026 Zm.17157.1.A1_at BM074525 Zm.7342.1.A1_at AF371279.1 Zm.2781.1.S1_at CF007960 Zm.3944.1.S1_at M29411.1 Zm.98.1.S1_at AY106729.1 Zm.3892.6.A1_x_at CD441708 Zm.12051.1.A1_at AI947869 Zm.4193.1.A1_at AY106195.1 Zm.2197.1.S1_a_at AF007785.1 Zm.12164.1.A1_at CO521714 Zm.15998.1.A1_at CA403811 ZmAffx.1186.1.A1_at AY110093.1 Zm.19149.1.S1_at CO526376 Zm.14820.1.S1_at AY106101.1 Zm.15789.1.A1_a_at CD440056 ZmAffx.655.1.A1_at AI715083 Zm.19077.1.A1_at CO526103 Zm.698.1.A1_at AY112103.1 Zm.10332.1.A1_at BQ048110 Zm.10642.1.A1_at BQ539388 Zm.11901.1.A1_at BM381636 ZmAffx.1494.1.S1_s_at 40794996-111 ZmAffx.871.1.A1_at AI770769 Zm.13463.1.S1_at AY109103.1 Zm.18502.1.A1_at CF623953 Zm.2171.1.A1_at BG841205 Zm.14069.2.A1_at AY110342.1 Zm.6036.1.S1_at AY110222.1 Zm.17638.1.S1_at CK368502 Zm.813.1.S1_at AF244683.1 Zm.8376.1.S1_at BM073880 Zm.16922.1.A1_a_at CD998944 Zm.16913.1.S1_at BQ619268 Zm.12851.1.A1_at CA400703 Zm.3225.1.S1_at BE512131 Zm.13628.1.S1_at CD437947 Zm.9998.1.A1_at BM335619 Zm.15967.1.S1_at CA404149 Zm.6366.2.A1_at CA398774 Zm.1784.1.S1_at BF728627 Zm.19031.1.A1_at BU051425 Zm.6170.1.A1_a_at AY107283.1 Zm.3789.1.S1_at AW438148 Zm.4310.1.A1_at BM078907 Zm.3892.10.A1_at AI691846 RPTR-Zm-U47295-1_at RPTR-Zm-U47295-1 Zm.15469.1.S1_at CD438450 Zm.7515.1.A1_at BM078765 Zm.6728.1.A1_at CN844413 Zm.16798.2.A1_a_at CF633780 Zm.455.1.S1_a_at AF135014.1 Zm.10134.1.A1_at BQ619055 19B. Negative Zm.10492.1.S1_at CA826941 Correlation Zm.5113.2.A1_a_at CF633388 Zm.3533.1.A1_at AY110439.1 ZmAffx.674.1.S1_at AI734487 ZmAffx.1060.1.S1_at AI881420 ZmAffx.361.1.A1_at AI670571 Zm.10190.1.S1_at CF041516 Zm.12256.1.S1_at BU049042 ZmAffx.1529.1.S1_at 40794996-124 Zm.19120.1.A1_at CO523709 Zm.2614.2.A1_at CD436098 Zm.10429.1.S1_at BQ528642 Zm.13457.1.S1_at AY109190.1 Zm.4040.1.A1_at AI834032 Zm.5083.2.S1_at AY109962.1 Zm.5704.1.A1_at AI637031 Zm.3934.1.S1_at AI947382 Zm.6478.1.S1_at AI692059 Zm.1161.1.S1_at BE511616 Zm.12135.1.A1_at BM334402 Zm.4878.1.A1_at AW288995 Zm.18825.1.A1_at CO527281 Zm.4087.1.A1_at AI834529 Zm.9321.1.A1_at AY108492.1 Zm.9121.1.A1_at CF631233 Zm.7797.1.A1_at BM079946 Zm.1228.1.S1_at CF006184 Zm.1118.1.S1_at CF631214 Zm.3612.1.A1_at AY103746.1 Zm.17612.1.S1_at CK368134 Zm.7082.1.S1_at CF637101 Zm.6188.2.A1_at AY108898.1 Zm.6798.1.A1_at CA400889 Zm.6205.1.A1_at CK985870 Zm.582.1.S1_at AF186234.2 Zm.5798.1.A1_at BM072971 Zm.8598.1.A1_at BM075029 Zm.15207.1.A1_at BM268677 Zm.4164.3.A1_s_at CF636517 Zm.1802.1.A1_at BM078736 Zm.13583.1.S1_at AY108161.1 ZmAffx.513.1.A1_at AI692067 ZmAffx.853.1.A1_at AI770653 Zm.2128.1.S1_at AY105930.1 Zm.18488.1.A1_at BM269253 Zm.10471.1.A1_at CA399504 ZmAffx.716.1.S1_at AI739804 Zm.10756.1.S1_at CD975109 Zm.1482.5.S1_at AI714961 ZmAffx.494.1.S1_at AI770346 Zm.5688.1.A1_at AY105372.1 Zm.4673.2.A1_a_at CA400524 Zm.9542.1.A1_at CF624708 Zm.10557.2.A1_at BQ538273 ZmAffx.1051.1.A1_at AI881809 Zm.3724.1.A1_x_at CF627032 Zm.6575.1.A1_at AI737943 Zm.18046.1.A1_at BI993031 Zm.4990.1.A1_at AI586885 ZmAffx.891.1.A1_at AI770848 Zm.10750.1.A1_at AY104853.1 Zm.6358.1.S1_at CA402045 Zm.2150.1.A1_a_at CD977294 Zm.4068.2.A1_at BQ619512 Zm.1327.1.A1_at BE643637 Zm.3699.1.S1_at U92045.1 ZmAffx.175.1.S1_at AI668276 Zm.311.1.A1_at BM268583 Zm.19326.1.A1_at CO530193 Zm.728.1.A1_at BM338202 ZmAffx.963.1.A1_at AI833792 Zm.5155.1.S1_at CD433333 Zm.3186.1.S1_a_at CK827152 ZmAffx.1164.1.A1_at AW455679 Zm.10069.1.A1_at AY108373.1 Zm.17869.1.S1_at CK701080 Zm.1670.1.A1_at AY109012.1 Zm.737.1.A1_at D45403.1 Zm.9947.1.A1_at BM349454 Zm.3553.1.S1_at AY112170.1 Zm.11794.1.A1_at BM380817 ZmAffx.139.1.S1_at AI667769 Zm.5328.2.A1_at AW258090 Zm.534.1.A1_x_at AF276086.1 Zm.17724.3.S1_x_at CK370253 Zm.13806.1.S1_at AY104790.1 Zm.8710.1.A1_at BM333560 Zm.14397.1.A1_at BM351246 Zm.5495.1.S1_at AY103870.1 Zm.4338.3.S1_at AW000126 Zm.9199.1.A1_at CO522770 Zm.15839.1.A1_at AY109200.1 Zm.12386.1.A1_at CF630849 Zm.7495.1.A1_at CF636496 Zm.2181.1.S1_at BF727788 ZmAffx.144.1.S1_at AI667795 Zm.4449.1.A1_at BM074466 Zm.8111.1.S1_at CD972041 Zm.17784.1.S1_at CK370703 Zm.16247.1.S1_at AY181209.1 Zm.3699.5.S1_a_at AY107222.1 Zm.7823.1.S1_at BM078187 Zm.5866.1.S1_at CF044154 Zm.6469.1.S1_at BE345306 Zm.10434.1.S1_at BQ577392 Zm.16929.1.S1_at AW055615 Zm.7572.1.S1_at CO521006 Zm.6726.1.S1_x_at AI395973 ZmAffx.387.1.S1_at AI673971 Zm.9543.1.A1_at CK370330 Zm.1632.1.S1_at AY104990.1 Zm.8897.1.S1_at BM079371 Zm.14869.1.A1_at AI586666 Zm.1059.2.A1_a_at CO518029 Zm.4611.1.A1_s_at BG842817 ZmAffx.1172.1.S1_at AW787638 Zm.8751.1.A1_at BM348137 Zm.1066.1.S1_a_at AY104986.1 Zm.13931.1.S1_x_at Z35302.1 Zm.9916.1.A1_at BM348997 ZmAffx.1203.1.A1_at BE128869 Zm.9468.1.S1_at AY108678.1 Zm.4049.1.A1_at AI834098 Zm.14325.1.S1_at AY104177.1 Zm.9281.1.A1_at BM267756 Zm.229.1.S1_at L33912.1 Zm.2244.1.S1_a_at CF348841 Zm.4587.1.A1_at CO528135 Zm.9604.1.A1_at BM333654 Zm.7831.1.A1_at BM080062 Zm.648.1.S1_at AF144079.1 Zm.5018.3.A1_at AI668145 ZmAffx.962.1.A1_at AI833777 Zm.11663.1.A1_at CO531620 Zm.19167.2.A1_x_at CF636656 ZmAffx.776.1.A1_at AI746212 Zm.4736.1.A1_at AY108189.1 ZmAffx.1053.1.A1_at AI881846 Zm.4248.1.A1_at AY110118.1 ZmAffx.1523.1.S1_at 40794996-120 Zm.4922.1.A1_at AI586404 Zm.6601.2.A1_a_at BM078978 Zm.18355.1.A1_at CO532040 Zm.16351.1.A1_at CF623648 Zm.12150.1.S1_at AY106576.1 ZmAffx.1428.1.S1_at 11990232-13 Zm.11468.1.A1_at BM382262 Zm.11550.1.A1_at BG320003 Zm.12235.1.A1_at CF972364 Zm.10911.1.A1_x_at BM340657 Zm.1497.1.S1_at AF050631.1 Zm.2440.1.A1_a_at BM347886 Zm.6638.1.A1_at AI619165 ZmAffx.840.1.S1_at AI770592 Zm.15800.2.A1_at CD998623 Zm.2220.4.S1_at AY110053.1 Zm.5791.1.A1_at AY103953.1 Zm.9435.1.A1_at BM268868 Zm.2565.1.S1_at AY112147.1 ZmAffx.964.1.A1_at AI833796 Zm.3134.1.A1_at AY112040.1 Zm.8549.1.A1_at BM339103 Zm.10807.2.A1_at CD970321 Zm.3286.1.A1_at BG265986 Zm.11983.1.A1_at BM382368 ZmAffx.841.1.A1_at AI770596 Zm.2950.1.A1_at AI649878 Zm.900.1.S1_at BF728342 Zm.8147.1.A1_at BM073080 Zm.18430.1.S1_at CO524429 Zm.15859.1.A1_at D14578.1 Zm.17164.1.S1_at AY188756.1 Zm.1204.1.S1_at BE519063 Zm.17968.1.A1_at CK827143

TABLE 20 Maize genes with transcript abundance in hybrids used for prediction of average yield in hybrids Probe Set ID Representative Public ID 20A. Positive Zm.4900.2.A1_at AY105715.1 Correlation Zm.6390.1.S1_at BU098381 Zm.17314.1.S1_at CK369303 Zm.8720.1.S1_at AY303682.1 ZmAffx.435.1.A1_at AI676952 Zm.4807.1.A1_at CO518291 Zm.16794.1.A1_at AF330034.1 Zm.19357.1.A1_at CO533449 Zm.13190.1.A1_at CD433968 Zm.16025.1.A1_at BM340438 AFFX-r2-TagC_at AFFX-r2-TagC ZmAffx.844.1.S1_at AI770609 Zm.6342.1.S1_at AW052791 Zm.9453.1.A1_at CO521132 Zm.13708.1.A1_at AY106587.1 Zm.10609.1.A1_at BQ538614 Zm.6589.1.A1_at AI622544 ZmAffx.1308.1.S1_s_at 11990232-76 Zm.4024.1.S1_at AY105692.1 Zm.16805.4.A1_at AI795617 Zm.10032.1.S1_at CN844905 Zm.4943.1.A1_at BG320867 Zm.6970.1.A1_a_at AY111674.1 Zm.8150.1.A1_at BM073089 Zm.4696.1.S1_at BG266403 ZmAffx.994.1.A1_at AI855283 Zm.11585.1.A1_at BM379130 ZmAffx.45.1.S1_at AI664925 Zm.6214.1.A1_a_at BQ538548 Zm.9102.1.A1_at BM333481 Zm.4909.1.A1_at AY111633.1 Zm.13916.1.S1_at AF037027.1 Zm.17317.1.S1_at CK370700 Zm.5684.1.A1_at BM334571 AFFX-r2-TagJ-3_at AFFX-r2-TagJ-3 Zm.2232.1.S1_at BM380334 Zm.15667.1.S1_at CD437700 Zm.1996.1.S1_at CK347826 Zm.9642.1.A1_at BM338826 Zm.12716.1.S1_at AY112283.1 Zm.6556.1.A1_at AY109683.1 ZmAffx.54.1.S1_at AI665038 Zm.5099.1.S1_at AI600819 Zm.5550.1.S1_at AI622648 Zm.1352.1.A1_at AY106566.1 Zm.4312.3.S1_at CF075294 Zm.2202.1.A1_at AY105037.1 Zm.14089.1.S1_at AW324724 Zm.13601.1.S1_at AY107674.1 Zm.4.1.S1_a_at CD434423 ZmAffx.219.1.S1_at AI670227 ZmAffx.122.1.S1_at AI665696 ZmAffx.109.1.S1_at AI665560 ZmAffx.331.1.A1_at AI670513 Zm.4118.1.A1_at AY105314.1 Zm.6369.3.A1_at AI881634 Zm.15323.1.A1_at BM349667 Zm.3050.3.A1_at CF630494 Zm.2957.1.A1_at CK371564 ZmAffx.439.1.A1_at AI676966 Zm.4860.2.A1_at AI770577 Zm.19141.1.A1_at CF625022 Zm.5268.1.S1_at CF626642 Zm.5791.2.A1_a_at AW438331 Zm.4616.1.A1_x_at BQ538201 Zm.12940.1.S1_at AY104675.1 Zm.4265.1.A1_at CA402796 Zm.8412.1.A1_at AY108596.1 Zm.18041.1.A1_at BQ620926 Zm.13365.1.A1_at CK827054 Zm.2734.2.S1_at BF727671 Zm.16299.2.A1_a_at BM336250 Zm.13007.1.S1_at CO532826 Zm.12716.1.A1_at AY112283.1 Zm.11827.1.A1_at BM381077 Zm.14824.1.S1_at AJ430693.1 Zm.15083.2.A1_at AY107613.1 Zm.445.2.A1_at AF457968.1 Zm.5834.1.A1_a_at BM335098 ZmAffx.823.1.S1_at AI770503 Zm.8924.1.A1_at BM381215 Zm.722.1.A1_at AW288498 Zm.13341.1.S1_at CF044863 Zm.12037.1.S1_at BI894209 Zm.2557.1.S1_at CF649649 ZmAffx.1152.1.A1_at AW424633 Zm.5423.1.S1_at CD997936 ZmAffx.243.1.S1_at AI670255 Zm.17696.1.A1_at BM073027 Zm.13194.2.A1_at AY108895.1 Zm.13059.1.S1_at AB112938.1 Zm.3255.2.A1_a_at BM073865 ZmAffx.57.1.A1_at AI665066 Zm.18764.1.A1_at CO519979 20B. Negative Zm.4875.1.S1_at AI691556 Correlation Zm.5980.2.A1_a_at AI666161 Zm.6045.2.A1_a_at BM337093 Zm.14497.15.A1_x_at CF016873 Zm.281.1.S1_at U06831.1 Zm.2376.1.A1_x_at AF001634.1 Zm.6007.1.S1_at AI666154 ZmAffx.316.1.A1_at AI670498 Zm.17786.1.S1_at CF623596 Zm.18419.1.A1_at CF631047 Zm.16237.1.A1_at CF624893 Zm.6594.1.A1_at CF972362 Zm.18998.1.S1_at BF727820 ZmAffx.421.1.S1_at AI676853 Zm.3198.2.A1_a_at CN844169 Zm.1551.1.A1_at BM339714 Zm.936.1.A1_at CF052340 Zm.6194.1.A1_at AW519914 AFFX-ThrX-M_at AFFX-ThrX-M Zm.4304.1.S1_at AI834719 Zm.3616.1.A1_at BM380107 Zm.16207.1.A1_at AW355980 Zm.5917.2.A1_at BM379236 ZmAffx.914.1.A1_at AI770970 Zm.18260.1.A1_at CF602623 Zm.16879.1.A1_at CF645954 Zm.19203.1.S1_at CO520849 Zm.17500.1.A1_at CK371009 Zm.5705.1.S1_at AI637038 Zm.7892.1.A1_at CO520489 ZmAffx.586.1.A1_at AI715014 Zm.11783.1.A1_at BM380733 Zm.18254.2.A1_at CF632979 Zm.4258.1.A1_at BM348441 Zm.13790.1.S1_at AY105115.1 Zm.14428.1.S1_at AY106109.1 Zm.13947.2.A1_at AI737859 Zm.12517.1.A1_at CF624446 Zm.5507.1.S1_at CN071496 Zm.11055.1.A1_at BM336314 Zm.13417.1.A1_at CA400681 Zm.12101.2.S1_at AI833552 Zm.10202.1.A1_at AY112463.1 ZmAffx.273.1.A1_at AI670401 Zm.784.1.A1_at CF005849 Zm.7858.1.A1_at AY108500.1 Zm.9839.1.A1_at BM339393 ZmAffx.1198.1.S1_at BE056195 Zm.4326.1.A1_at AI711615 Zm.9735.1.A1_at BM336891 Zm.3634.1.A1_at CF638013 Zm.1408.1.A1_at CN845023 Zm.16848.1.A1_at CK369421 Zm.8114.1.A1_at BM072985 ZmAffx.138.1.A1_at AI667759 Zm.5803.1.A1_at AI691266 Zm.10681.1.A1_at BQ538977 Zm.9867.1.A1_at AY106142.1 Zm.1511.1.S1_at CO532736 Zm.7150.1.A1_x_at AY103659.1 Zm.9614.1.A1_at BM335440 Zm.1338.1.S1_at W49442 Zm.8900.1.A1_at CK827399 ZmAffx.721.1.A1_at AI665110 Zm.7596.1.A1_at BM079087 Zm.19034.1.S1_at BQ833817 Zm.8959.1.A1_at BM335622 Zm.2243.1.A1_at BM349368 Zm.13403.1.S1_x_at AF457949.1 AFFX-Zm-r2-Ec-bioB-3_at AFFX-Zm-r2-Ec-bioB-3 Zm.3633.1.A1_at U33816.1 Zm.17529.1.S1_at CK394827 Zm.18275.1.A1_at CO526155 Zm.7056.6.A1_at CF051906 Zm.5796.1.A1_at BM332299 ZmAffx.1106.1.S1_at AW216267 Zm.12965.1.A1_at CA402509 Zm.13845.1.A1_at AY103950.1 Zm.12765.1.A1_at AI745814 ZmAffx.1500.1.S1_at 40794996-117 Zm.10867.1.A1_at BM073190 Zm.19144.1.A1_at CO518283 ZmAffx.262.1.A1_s_at AI670379 Zm.7012.9.A1_at BE123180 ZmAffx.1295.1.S1_s_at 40794996-25 Zm.4682.1.S1_at AI737946 Zm.2367.1.S1_at AW497505 Zm.8847.1.A1_at BM075896 Zm.2813.1.A1_at BM381379 ZmAffx.586.1.S1_at AI715014 Zm.14450.1.A1_at AI391911 Zm.1454.1.A1_at BG841866 Zm.18933.2.S1_at AI734652 Zm.1118.1.S1_at CF631214 Zm.18416.1.A1_at CO524449 ZmAffx.939.1.S1_at AI820322 Zm.16251.1.A1_at AI711812 Zm.18427.1.S1_at CO523584 Zm.10053.1.A1_at CO523900 Zm.18439.1.A1_at BM267666 Zm.12356.1.S1_at BQ547740 ZmAffx.507.1.A1_at AI691932 Zm.10718.1.A1_at BM339638 Zm.15796.1.S1_at BE640285 ZmAffx.270.1.A1_at AI670398 Zm.54.1.S1_at L25805.1 Zm.8391.1.A1_at BM347365 Zm.9238.1.A1_at CO533275 Zm.3633.2.S1_x_at CF634876 Zm.4505.1.S1_at AY111153.1 Zm.12070.1.A1_at BM418472 Zm.17977.1.A1_s_at CK827616 Zm.5789.3.S1_at X83696.1 ZmAffx.771.1.A1_at AI746147 Zm.11620.1.A1_at BM379366 Zm.5571.2.A1_a_at AY107402.1 Zm.12192.1.A1_at BM380585 Zm.19243.1.A1_at AW181224 Zm.12382.1.S1_at BU097491 Zm.7538.1.A1_at BM337034 Zm.1738.2.A1_at CF630684 Zm.1313.1.A1_s_at BM078737 Zm.9389.2.A1_x_at BQ538340 ZmAffx.678.1.A1_at AI734611 Zm.18105.1.S1_at CO527288 Zm.19042.1.A1_at CO521963 ZmAffx.782.1.A1_at AI759014 Zm.5957.1.S1_at AY105442.1 Zm.18908.1.S1_at CO531963 Zm.1004.1.S1_at BE511241 Zm.6743.1.S1_at AF494284.1 Zm.8118.1.A1_at AY107915.1 ZmAffx.960.1.S1_at AI833639 Zm.17425.1.S1_at CK145186 Zm.8106.1.S1_at BM079856 ZmAffx.277.1.S1_at AI670405 Zm.13686.1.A1_at AY106861.1 Zm.1068.1.S1_at BM381276 Zm.778.1.A1_a_at CO529433 Zm.11834.1.S1_at BM381120 Zm.16324.1.A1_at CF032268 Zm.18774.1.S1_at CO524725 Zm.14811.1.S1_at CF629330 Zm.6654.1.A1_at CF038689 Zm.17243.1.S1_at CK786707 Zm.6000.1.S1_at BG265807 Zm.17212.1.A1_at CO529021 Zm.8233.2.S1_a_at BM381462 Zm.138842.A1_at AF099414.1 ZmAffx.1362.1.S1_at 11990232-90 Zm.7904.1.A1_at BM080363 Zm.16742.1.A1_at AW499330 Zm.5119.1.A1_a_at CF634150 Zm.152.1.S1_at J04550.1 Zm.15451.1.S1_at CD439729 Zm.5492.1.A1_at AI622235 Zm.2710.1.S1_at CO520765 Zm.8937.1.A1_at BM080734 Zm.14283.4.S1_at BG841525 Zm.6437.1.A1_a_at CA402215 Zm.10175.1.A1_at BM379420 Zm.6228.1.A1_at AI739920 Zm.5558.1.A1_at AY072298.1 Zm.10269.1.S1_at BM660878 Zm.1894.2.S1_at CK371174 Zm.12875.1.A1_at CA400938 Zm.3138.1.A1_a_at AI621861 Zm.15984.1.A1_at CD441218 ZmAffx.1073.1.A1_at AI947671 Zm.8489.1.A1_at BQ538173 Zm.14962.1.A1_at BM268018 Zm.9799.1.A1_at AY111917.1 Zm.3833.1.A1_at AW288806 Zm.15467.1.A1_at CD219385 Zm.4316.1.S1_a_at AI881448 Zm.4246.1.A1_at AI438854 Zm.9521.1.A1_x_at CF624102 Zm.17356.1.A1_at CF634567 Zm.17913.1.S1_at CF625344 Zm.17630.1.A1_at CK348094 Zm.3350.1.A1_x_at BM266649 Zm.2031.1.S1_at AY103664.1 Zm.5623.1.A1_at BG840990 Zm.16338.1.A1_at CF348862 Zm.6430.1.A1_at AY111839.1 Zm.10210.1.A1_at CF627510 Zm.4418.1.A1_at BM378152 ZmAffx.791.1.A1_at AI759133 Zm.9048.1.A1_at CF024226 Zm.2542.1.A1_at CF636373 Zm.19011.2.A1_at AY108328.1 Zm.9650.1.S1_at BM380250 Zm.7804.1.S1_at AF453836.1 Zm.17656.1.S1_at CK369512 Zm.7860.1.A1_at BM333940 Zm.3395.1.A1_at AY103867.1 Zm.14505.2.A1_at CF059379 Zm.3099.1.S1_at CO522746 Zm.12133.1.S1_at CF636936 Zm.4999.1.S1_at AI600285 Zm.16080.1.A1_at AY108583.1 Zm.2715.1.A1_at AW066985 Zm.5797.1.S1_at CF012679 ZmAffx.844.1.A1_at AI770609 Zm.13263.1.A1_at AY109418.1 Zm.3852.1.S1_at CD998914 Zm.12391.1.S1_at CF349132 Zm.6624.1.S1_at AI491254 Zm.13961.1.S1_at AY540745.1 Zm.8632.1.A1_at BM268513 Zm.15102.1.A1_at AI065586 Zm.11831.1.S1_a_at CA401860 Zm.4460.1.A1_at AI714963 Zm.4546.1.A1_at BG266283 RPTR-Zm-U55943-1_at RPTR-Zm-U55943-1 Zm.7915.1.A1_at BM080414 ZmAffx.188.1.S1_at AI668391 Zm.3889.5.A1_x_at AI737901 Zm.2078.1.A1_at CF675000 Zm.7648.1.A1_at CO517814 Zm.3167.1.S1_s_at U89342.1 Zm.19347.1.S1_at AI902024 Zm.1881.1.A1_at AY110751.1 Zm.6982.1.S1_at AY105052.1 Zm.4187.1.S1_at AY105088.1 Zm.6298.1.A1_at CD444675 Zm.9529.1.A1_at CA399003 Zm.1383.1.A1_at BG873830 Zm.9339.1.A1_at BM332063 Zm.6318.1.A1_at BM073937 Zm.16926.1.S1_at CO522465 ZmAffx.485.1.S1_at AI691349 Zm.3795.1.A1_at BM335144 Zm.5367.1.A1_at CF638282 Zm.2040.2.S1_a_at CB331475 Zm.7056.12.S1_at AI746152 Zm.5656.1.A1_at BG837879 Zm.1212.1.S1_at CF011510 Zm.9098.1.A1_a_at BM336161 Zm.3805.1.S1_at AY112434.1 Zm.6645.1.S1_at CF637989 Zm.9250.1.S1_at CF016507 Zm.2656.2.S1_s_at AY111594.1 Zm.13585.1.S1_at AY107846.1 ZmAffx.261.1.S1_at AI670366 Zm.1056.1.S1_a_at AW120162 ZmAffx.474.1.S1_at AI677507 Zm.2225.1.S1_at BF728179 Zm.8292.1.S1_at AY106611.1 Zm.6569.9.A1_x_at AW091447 Zm.4230.1.S1_at CO523811 RPTR-Zm-J01636-4_at RPTR-Zm-J01636-4 Zm.13326.1.S1_at CF042397 ZmAffx.728.1.A1_at AI740010 Zm.6048.2.S1_at AI745933 Zm.9513.1.A1_at BM349310 Zm.5944.1.A1_at BG874229 ZmAffx.1059.1.A1_at AI881930 Zm.14352.2.S1_at AY104356.1 ZmAffx.607.1.S1_at AI715035 Zm.2199.2.S1_at CA404051 Zm.9169.2.S1_at CO521754 ZmAffx.630.1.S1_at AI715058 Zm.16285.1.S1_at CD970925 Zm.9747.1.S1_at BM337726 Zm.9783.1.A1_at BM347856 ZmAffx.827.1.A1_at AI770520 Zm.3133.1.S1_at CK371248 Zm.15512.1.S1_at CD436002 Zm.4531.1.A1_at AI734623 Zm.12810.1.A1_at CA399348 Zm.17498.1.A1_at CK144816 ZmAffx.821.1.A1_at AI770497 Zm.5723.1.A1_at BM079835 Zm.16535.2.A1_s_at CF062633 Zm.14502.1.S1_at CO531791 Zm.10792.1.A1_at AY106092.1 Zm.14170.1.A1_a_at BG841910 ZmAffx.1005.1.A1_at AI881362 Zm.5048.6.A1_at BM380925 Zm.8270.1.A1_at AY649984.1 Zm.1899.1.A1_at BM333426 Zm.17843.1.A1_at BM380806 Zm.7005.1.A1_at BM333037 Zm.15576.1.A1_a_at CK827910 Zm.13930.1.A1_x_at Z35298.1 Zm.12433.1.S1_at AY105016.1 ZmAffx.1031.1.A1_at AI881675 ZmAffx.237.1.S1_at AI670249 Zm.13103.1.S1_at CO534624 Zm.16538.1.S1_at BM337996 Zm.10271.1.S1_at CA452443 Zm.6625.2.S1_at BM347999 Zm.8756.1.A1_at BM333012 Zm.885.1.S1_at BM080781 ZmAffx.1077.1.A1_at AI948123 Zm.14463.1.A1_at BM336602 ZmAffx.58.1.S1_at AI665082 Zm.5112.1.A1_at AI600906 Zm.14076.2.A1_a_at CO526265 Zm.3077.2.S1_x_at CF061929 Zm.9814.1.A1_at BM351590 Zm.161.2.S1_x_at X70153.1 Zm.16266.1.S1_at CF243553 Zm.17657.1.A1_at CK369553 Zm.19019.1.A1_at BM080703 Zm.10514.1.S1_at BQ485919 Zm.2473.1.S1_at AY104610.1 Zm.13720.1.S1_s_at AY106348.1 Zm.2266.1.A1_at AW330883 Zm.5228.1.A1_at AW061845 AFFX-Zm-r2-Ec-bioC-3_at AFFX-Zm-r2-Ec-bioC-3 Zm.13858.1.S1_at CO524282 Zm.5847.1.A1_at BM078382 Zm.9056.1.A1_at BM334642 Zm.4894.1.A1_at BM076024 ZmAffx.1032.1.S1_at AI881679 Zm.9757.1.A1_at BM338070 Zm.4616.1.A1_a_at BQ538201 Zm.4287.1.A1_at BG266567 Zm.5988.1.A1_at AI666062 Zm.4187.1.A1_at AY105088.1 Zm.8665.1.A1_at BM075117 Zm.5080.1.A1_at AI600750 Zm.5930.1.S1_at CF018694

TABLE 21 Pedigree and seedling growth characteristics of the maize inbred lines used in Example 6a Seedling characteristics Group Subgroup after 2 weeks' growth Line Pedigree [72] [72] [72] Weight/g Height/mm Parent in all crosses B73 lowa Stiff Stalk Synthetic SS B73 1.62 204 C5 Training dataset B97 derived from BSCB1(R)C9 NSS NSS-mixed 1.30 204 CML52 Pop. 79? TS TZI 2.18 262 CML69 Pop. 36 = Cogollero TS Suwan 2.56 273 (Caribbean) CML228 Suwan-1/SR TS Suwan 0.88 159 CML247 Pool 24 (Tuxpeño) TS CML-early 2.11 227 CML277 Pop. 43 = La Posta (Tux.) TS CML-P 1.26 205 CML322 Recyc. US + Mex TS CML-early 1.29 173 CML333 Pop. 590 = ? TS CML-P 1.46 184 II14H White Narrow Grain Sweet 1.68 264 Evergreen corn Ki11 Suwan 1 TS Suwan 2.04 174 Ky21 Boone County White NSS K64W 1.40 191 M37W AUSTRALIA/JELLICORSE Mixed 1.12 204 Mo17 C.I.187-2*C103 NSS CO109:Mo17 2.39 231 Mo18W Wf9*Mo22(2) Mixed 1.12 197 NC350 H5*PX105A/H101 TS NC 1.49 206 NC358 TROPHY SYN TS TZI 1.12 161 Oh43 Oh40B*W8 NSS M14:Oh43 3.13 293 P39 Purdue Bantam Sweet 0.49 146 corn Tx303 Yellow Surcropper Mixed 1.10 179 Tzi8 TZB × TZSR TS TZI 1.22 206 Test dataset CML103 Pop. 44 TS CML-late 1.52 199 HP301 Supergold Popcorn 1.02 240 Ki3 Suwan-1 lines TS Suwan 1.79 230 Oh7B Oh07B = [(Oh07*38- Mixed 0.72 149 11)Oh07]

TABLE 22 Maize genes for which transcript abundance in inbred lines of the training dataset is correlated (P < 0.00001) with plot yield of hybrids with line B73 Systematic Name P value R2 Slope Intercept GenBank entry Zm.3907.1.S1_at 0 0.648 −0.1182 1.773 gb: L81162.2 DB_XREF = gi: 50957230 Zm.18118.1.S1_at 0 0.5906 −0.3374 5.653 gb: CN844890 DB_XREF = gi: 47962181 Zm.2741.1.A1_at 1.13E−12 0.585 −0.3268 5.597 gb: CB603857 DB_XREF = gi: 29543461 Zm.13075.1.A1_at 4.58E−12 0.5647 −0.8445 12.26 gb: CA403748 DB_XREF = gi: 24768619 Zm.11896.1.A1_at 4.62E−12 0.5646 −0.523 7.705 gb: CO530711 DB_XREF = gi: 50335585 Zm.8790.1.A1_at 3.76E−11 0.5324 −0.1699 3.336 gb: CF005102 DB_XREF = gi: 32865420 Zm.14547.1.S1_a_at 4.19E−11 0.5307 −0.2015 2.891 gb: BG840169 DB_XREF = gi: 14243004 Zm.17578.1.A1_at 5.68E−11 0.5258 −3.303 48.37 gb: CK368635 DB_XREF = gi: 40334565 ZmAffx.1036.1.S1_at 8.13E−11 0.52 −0.1258 1.934 gb: AI881726 DB_XREF = gi: 5566710 Zm.6469.1.S1_at 8.45E−11 0.5194 0.0888 −0.1612 gb: BE345306 DB_XREF = gi: 9254838 ZmAffx.1211.1.A1_at 9.65E−11 0.5172 −0.5151 8.386 gb: BG842238 DB_XREF = gi: 14244259 Zm.17743.1.S1_at 1.06E−10 0.5156 −0.8687 12.7 gb: CK370833 DB_XREF = gi: 40336763 Zm.11126.1.S1_at 3.41E−10 0.496 0.103 −0.3613 gb: AA979835 DB_XREF = gi: 3157213 Zm.17115.1.S1_at 4.19E−10 0.4925 −0.395 6.294 gb: CN844978 DB_XREF = gi: 47962269 Zm.1465.1.A1_at 1.08E−09 0.476 −1.141 17.41 gb: BG840947 DB_XREF = gi: 14243198 ZmAffx.175.1.A1_at 1.58E−09 0.4692 −0.7394 11.35 gb: AI668276 DB_XREF = gi: 4827584 Zm.7407.1.A1_a_at 1.77E−09 0.4672 −0.1588 3.222 gb: BM074289 DB_XREF = gi: 16919636 Zm.12072.1.S1_at 1.86E−09 0.4663 −0.2694 3.894 gb: BM417375 DB_XREF = gi: 18384175 Zm.17209.1.A1_at 2.01E−09 0.4648 0.07619 −0.06023 gb: BM073068 DB_XREF = gi: 16916971 Zm.1615.1.S1_at 2.37E−09 0.4618 −0.1839 3.377 gb: AY106014.1 DB_XREF = gi: 21209092 Zm.1835.2.A1_at 2.76E−09 0.459 −0.1609 2.806 gb: CK985959 DB_XREF = gi: 45568216 Zm.5605.1.S1_at 3.21E−09 0.4563 −0.1728 3.327 gb: CO528780 DB_XREF = gi: 50333654 Zm.17923.1.A1_at 3.99E−09 0.4523 −0.2692 4.808 gb: AY110526.1 DB_XREF = gi: 21214935 Zm.7407.1.A1_x_at 4.46E−09 0.4502 −0.1987 3.798 gb: BM074289 DB_XREF = gi: 16919636 Zm.1143.1.S1_at 4.54E−09 0.4499 −0.166 3.287 gb: CD443909 DB_XREF = gi: 31359552 Zm.5656.1.A1_at 5.20E−09 0.4473 0.1137 −0.4548 gb: BG837879 DB_XREF = gi: 14204202 Zm.7397.1.A1_at 5.31E−09 0.4469 0.168 −1.328 gb: BQ539216 DB_XREF = gi: 28984830 Zm.11141.1.S1_at 7.30E−09 0.441 −0.1185 2.511 gb: AY106810.1 DB_XREF = gi: 21209888 Zm.6221.1.S1_at 7.80E−09 0.4397 −0.06997 1.969 gb: AW585256 DB_XREF = gi: 7262313 Zm.4741.1.A1_a_at 8.01E−09 0.4392 −0.2734 4.707 gb: AI600480 DB_XREF = gi: 4609641 Zm.8535.1.A1_at 1.06E−08 0.4338 −0.1364 2.904 gb: AY104401.1 DB_XREF = gi: 21207479 Zm.14547.1.S1_at 1.39E−08 0.4287 −0.2202 3.814 gb: BG840169 DB_XREF = gi: 14243004 Zm.16839.1.A1_at 1.67E−08 0.4251 0.0764 0.004757 gb: CF630748 DB_XREF = gi: 37387111 Zm.19172.1.A1_at 1.90E−08 0.4226 −0.1808 3.45 gb: CO528850 DB_XREF = gi: 50333724 Zm.5170.1.S1_at 2.20E−08 0.4197 0.11 −0.4471 gb: CF349172 DB_XREF = gi: 33942572 Zm.5851.11.A1_x_at 2.71E−08 0.4156 −0.7137 11.37 gb: CO527835 DB_XREF = gi: 50332709 Zm.7006.2.A1_at 2.84E−08 0.4147 0.07037 0.09825 gb: AW225324 DB_XREF = gi: 6540662 Zm.8914.1.S1_at 2.95E−08 0.414 0.0947 −0.2888 gb: BM073720 DB_XREF = gi: 16918380 Zm.1974.1.A1_at 3.19E−08 0.4124 −0.3785 6.334 gb: CF920129 DB_XREF = gi: 38229816 Zm.13497.1.S1_at 3.62E−08 0.4099 0.08851 −0.1197 gb: CK368613 DB_XREF = gi: 40334543 Zm.10640.1.S1_at 3.96E−08 0.4081 −0.08601 2.231 gb: AY107547.1 DB_XREF = gi: 21210625 Zm.19062.1.S1_at 4.74E−08 0.4045 −0.08075 2.065 gb: CO531568 DB_XREF = gi: 50336442 Zm.18060.1.A1_at 4.79E−08 0.4043 −0.2694 4.583 gb: CK985812 DB_XREF = gi: 45567918 Zm.878.1.S1_x_at 5.24E−08 0.4025 0.1231 −0.4754 gb: AI855310 DB_XREF = gi: 5499443 Zm.5159.1.A1_at 6.20E−08 0.3991 0.0685 0.06159 gb: CA403363 DB_XREF = gi: 24768234 Zm.4632.1.A1_at 6.24E−08 0.399 −0.1062 2.425 gb: AI737439 DB_XREF = gi: 5058963 Zm.11189.1.A1_at 6.86E−08 0.3971 −0.08985 1.381 gb: BM339882 DB_XREF = gi: 18170042 Zm.1541.2.S1_at 8.18E−08 0.3935 0.09864 −0.363 gb: CF650678 DB_XREF = gi: 37425858 Zm.15307.1.A1_at 8.20E−08 0.3934 −4.65 68.91 gb: CF014037 DB_XREF = gi: 32909225 Zm.12775.1.A1_x_at 8.37E−08 0.393 −0.1098 1.876 gb: CA398576 DB_XREF = gi: 24763400 Zm.5086.1.A1_at 1.03E−07 0.3887 0.05381 0.329 gb: CF625592 DB_XREF = gi: 37377894 Zm.5851.9.S1_at 1.15E−07 0.3865 −0.2305 3.44 gb: AY105349.1 DB_XREF = gi: 21208427 Zm.3182.1.A1_at 1.31E−07 0.3838 −0.06838 1.868 gb: CK827062 DB_XREF = gi: 44900517 Zm.5415.1.A1_at 1.32E−07 0.3837 −0.3297 5.269 gb: BM074945 DB_XREF = gi: 16921022 Zm.16855.1.A1_at 1.34E−07 0.3833 −0.1675 2.758 gb: AF036949.1 DB_XREF = gi: 2865393 Zm.5851.11.A1_a_at 1.35E−07 0.3832 −2.667 40.08 gb: CO527835 DB_XREF = gi: 50332709 ZmAffx.106.1.A1_at 1.42E−07 0.3822 −0.317 5.565 gb: AI665540 DB_XREF = gi: 4776537 Zm.5688.2.A1_at 1.73E−07 0.3781 −0.733 12.07 gb: BM338540 DB_XREF = gi: 18168700 Zm.9294.1.A1_at 1.99E−07 0.3751 −0.4105 6.62 gb: BM335301 DB_XREF = gi: 18165462 Zm.11189.1.A1_x_at 2.14E−07 0.3736 −0.1475 2.193 gb: BM339882 DB_XREF = gi: 18170042 Zm.8904.1.A1_at 2.24E−07 0.3726 −0.2324 3.566 gb: CK371274 DB_XREF = gi: 40337204 Zm.9631.1.A1_at 2.37E−07 0.3714 −0.1776 2.7 gb: BM336220 DB_XREF = gi: 18166381 Zm.2106.1.S1_at 2.38E−07 0.3713 −0.2349 4.515 gb: CK786800 DB_XREF = gi: 44681752 Zm.552.1.A1_at 2.74E−07 0.3683 0.1283 −0.6816 gb: AF244691.1 DB_XREF = gi: 11385502 Zm.9371.1.A1_x_at  3.1E−07 0.3657 −0.1302 2.806 gb: BM350310 DB_XREF = gi: 18174922 Zm.16747.1.A1_at 3.18E−07 0.3652 0.06149 0.2381 gb: BM335125 DB_XREF = gi: 18165286 Zm.878.1.S1_at  3.2E−07 0.365 0.2286 −1.663 gb: AI855310 DB_XREF = gi: 5499443 Zm.12188.1.A1_at 3.43E−07 0.3636 −0.08906 1.631 gb: BM382754 DB_XREF = gi: 18181544 Zm.4452.1.A1_at  3.5E−07 0.3631 −0.1109 2.573 gb: AI691174 DB_XREF = gi: 4938761 Zm.17790.1.S1_at 3.51E−07 0.363 0.1348 −0.6063 gb: CK370971 DB_XREF = gi: 40336901 Zm.13843.1.A1_at 3.79E−07 0.3614 0.06967 0.1099 gb: AY104026.1 DB_XREF = gi: 21207104 Zm.4271.4.A1_at 3.88E−07 0.3609 0.05597 0.2215 gb: BG316519 DB_XREF = gi: 13126069 Zm.8922.1.S1_at 3.95E−07 0.3605 −0.1195 2.683 gb: BM080861 DB_XREF = gi: 16927792 Zm.6092.1.S1_at 4.22E−07 0.3591 0.07163 0.03375 gb: CB885460 DB_XREF = gi: 30087252 Zm.5851.6.S1_x_at 4.64E−07 0.3571 −1.814 27.33 gb: L46399.1 DB_XREF = gi: 939782 Zm.3467.1.A1_at  4.7E−07 0.3568 −0.11 2.537 gb: CF626421 DB_XREF = gi: 37379355 Zm.495.1.A1_at 5.15E−07 0.3548 0.05399 0.3248 gb: AF236369.1 DB_XREF = gi: 7716457 Zm.446.1.S1_at 5.28E−07 0.3543 −0.764 12.28 gb: AF529266.1 DB_XREF = gi: 27544873 Zm.5960.1.A1_at 5.32E−07 0.3541 −0.215 3.564 gb: AI665953 DB_XREF = gi: 4804087 Zm.4213.1.A1_at  5.5E−07 0.3534 −0.1478 3.071 gb: BG841480 DB_XREF = gi: 14243777 Zm.4728.1.A1_at 5.59E−07 0.3531 −0.1074 2.592 gb: AI855200 DB_XREF = gi: 5499333 Zm.9580.1.A1_at 5.62E−07 0.3529 −0.2372 4.381 gb: BM332976 DB_XREF = gi: 18163137 Zm.13808.1.S1_at 5.75E−07 0.3524 −0.105 2.492 gb: AY104740.1 DB_XREF = gi: 21207818 Zm.2626.1.A1_at 6.12E−07 0.3511 −0.05262 1.708 gb: AY112337.1 DB_XREF = gi: 21216927 Zm.15868.1.A1_at 6.23E−07 0.3507 0.1032 −0.2451 gb: BM336226 DB_XREF = gi: 18166387 Zm.4180.1.S1_at 6.88E−07 0.3485 0.1176 −0.5887 gb: CD964540 DB_XREF = gi: 32824818 Zm.5851.15.A1_x_at 7.11E−07 0.3478 −0.3181 5.392 gb: AI759130 DB_XREF = gi: 5152832 Zm.1739.1.A1_at 7.48E−07 0.3467 0.1393 −0.8398 gb: BM337820 DB_XREF = gi: 18167980 Zm.5390.1.A1_at 7.81E−07 0.3458 −0.1602 3.31 gb: BM078263 DB_XREF = gi: 16925195 Zm.3097.1.A1_at 7.87E−07 0.3456 0.1663 −0.8862 gb: AY103827.1 DB_XREF = gi: 21206905 Zm.6736.1.S1_at 8.55E−07 0.3438 −0.1797 3.458 gb: AY108079.1 DB_XREF = gi: 21211157 Zm.2910.1.S1_at 8.67E−07 0.3435 0.09427 −0.2644 gb: CK145276 DB_XREF = gi: 38688245 Zm.8697.1.A1_at 8.83E−07 0.3431 −0.1124 2.472 gb: BM079294 DB_XREF = gi: 16926226 Zm.4046.1.S1_at 8.85E−07 0.343 0.1288 −0.7911 gb: CA400292 DB_XREF = gi: 24765132 Zm.1285.1.A1_at 9.43E−07 0.3416 0.05565 0.2897 gb: AY111542.1 DB_XREF = gi: 21216132 Zm.2563.1.A1_at 9.52E−07 0.3414 −0.05074 1.192 gb: BE638571 DB_XREF = gi: 9951988 Zm.17952.1.A1_at 9.87E−07 0.3406 −0.6734 10.55 gb: CF632730 DB_XREF = gi: 37390982 Zm.5766.1.S1_x_at   1E−06 0.3403 −0.3844 5.842 gb: BG840404 DB_XREF = gi: 14242680 Zm.15977.1.S1_at 1.17E−06 0.3368 0.08845 −0.8911 gb: AY108613.1 DB_XREF = gi: 21211748 Zm.3913.1.A1_at 1.24E−06 0.3355 0.1163 −0.4099 gb: CF000034 DB_XREF = gi: 32860352 Zm.303.1.S1_at  1.3E−06 0.3346 −0.07128 2.002 gb: AF236373.1 DB_XREF = gi: 7716465 Zm.4332.1.A1_at 1.36E−06 0.3336 −0.3654 6.262 gb: AI711854 DB_XREF = gi: 5005792 Zm.9376.1.A1_at 1.41E−06 0.3326 0.09554 −0.3578 gb: BM332576 DB_XREF = gi: 18162737 Zm.1423.1.A1_at 1.46E−06 0.3319 −0.0643 1.871 gb: CF047935 DB_XREF = gi: 32943116 Zm.1792.1.A1_at 1.49E−06 0.3314 0.06852 0.04595 gb: AY107188.1 DB_XREF = gi: 21210266 Zm.17540.1.A1_at 1.51E−06 0.3311 −0.07019 1.93 gb: CO525036 DB_XREF = gi: 50329910 Zm.3561.1.A1_at 1.52E−06 0.3311 −0.6223 9.644 gb: CK826673 DB_XREF = gi: 44900128 ZmAffx.566.1.A1_at 1.62E−06 0.3297 −0.07933 1.337 gb: AI714636 DB_XREF = gi: 5018443 Zm.5597.1.A1_at 1.63E−06 0.3295 −0.2103 3.985 gb: AI629497 DB_XREF = gi: 4680827 Zm.13082.1.S1_a_at 1.68E−06 0.3288 −0.2151 3.969 gb: CD438478 DB_XREF = gi: 31354121 Zm.6216.1.S1_at 1.69E−06 0.3287 −0.04754 1.586 gb: CO531189 DB_XREF = gi: 50336063 Zm.2742.1.A1_at 1.72E−06 0.3283 −0.1419 3.028 gb: AY111235.1 DB_XREF = gi: 21215825 Zm.1559.1.S1_at 1.72E−06 0.3282 −0.07846 1.413 gb: BF729152 DB_XREF = gi: 12058302 Zm.3154.1.A1_at 1.74E−06 0.328 −0.03944 1.529 gb: BM333548 DB_XREF = gi: 18163709 Zm.3357.1.A1_at 1.75E−06 0.3279 0.08751 −0.1318 gb: BM347858 DB_XREF = gi: 18172470 Zm.2924.1.A1_a_at  1.8E−06 0.3273 −0.05843 1.786 gb: BM349722 DB_XREF = gi: 18174334 Zm.10301.1.A1_at 1.86E−06 0.3265 0.1287 −0.5513 gb: BU050993 DB_XREF = gi: 22491070 Zm.5992.1.A1_at 1.87E−06 0.3264 0.07232 0.08961 gb: AY108021.1 DB_XREF = gi: 21211099 Zm.13693.1.S1_at 1.87E−06 0.3264 −0.1718 3.323 gb: AY106770.1 DB_XREF = gi: 21209848 Zm.6117.1.A1_at 1.89E−06 0.3262 −0.05436 1.737 gb: BM074413 DB_XREF = gi: 16919905 Zm.8911.1.A1_at 2.03E−06 0.3246 −0.2179 4.077 gb: BM350783 DB_XREF = gi: 18175488 Zm.7595.1.A1_at 2.11E−06 0.3237 −0.05045 1.648 gb: CD437071 DB_XREF = gi: 31352714 Zm.2424.1.A1_at 2.28E−06 0.3219 −0.3084 5.458 gb: BG841655 DB_XREF = gi: 14243883 Zm.2391.1.A1_at 2.44E−06 0.3204 −0.3225 5.482 gb: CK826632 DB_XREF = gi: 44900087 Zm.2455.1.A1_at 2.47E−06 0.3201 −0.09311 2.332 gb: BM416746 DB_XREF = gi: 18383546 Zm.12934.1.A1_a_at 2.55E−06 0.3194 −0.3145 4.903 gb: AY106367.1 DB_XREF = gi: 21209445 Zm.13266.2.S1_at  2.6E−06 0.3189 −0.2755 4.818 gb: CO533594 DB_XREF = gi: 50338468 Zm.9364.1.A1_at 2.63E−06 0.3187 0.1468 −0.7177 gb: BM334062 DB_XREF = gi: 18164223 Zm.6293.1.A1_at 2.68E−06 0.3182 −0.08441 2.061 gb: CF038760 DB_XREF = gi: 32933948 Zm.2530.1.A1_at 2.71E−06 0.318 −0.1539 3.168 gb: CF637153 DB_XREF = gi: 37399642 Zm.8204.1.A1_at 2.8E−06 0.3172 −0.07345 2.051 gb: BM073273 DB_XREF = gi: 16917409 Zm.843.1.A1_a_at 2.81E−06 0.3172 0.06446 0.1415 gb: AY111573.1 DB_XREF = gi: 21216163 Zm.13288.1.S1_at 2.82E−06 0.3171 −0.07191 1.268 gb: CA826847 DB_XREF = gi: 26455264 Zm.19018.1.A1_at 2.87E−06 0.3167 −0.05674 1.775 gb: CO532922 DB_XREF = gi: 50337796 Zm.14036.1.S1_at 2.89E−06 0.3165 −0.05461 0.846 gb: X55388.1 DB_XREF = gi: 22270 Zm.13248.1.S1_at 2.98E−06 0.3158 −0.04989 0.7365 gb: Y09301.1 DB_XREF = gi: 3851330 Zm.14272.2.A1_at 3.07E−06 0.3151 0.1132 −0.5078 gb: D10622.1 DB_XREF = gi: 217961 Zm.14318.1.A1_at 3.33E−06 0.3133 0.1184 −0.4017 gb: AY104313.1 DB_XREF = gi: 21207391 Zm.19303.1.S1_at  3.4E−06 0.3128 0.04973 0.3873 gb: CA829102 DB_XREF = gi: 26457519 ZmAffx.909.1.S1_at 3.54E−06 0.3119 −0.1389 2.793 gb: AI770947 DB_XREF = gi: 5268983 Zm.2293.1.A1_at 3.65E−06 0.3112 −0.3914 5.735 gb: AW331208 DB_XREF = gi: 6827565 Zm.3796.1.A1_at 3.66E−06 0.3111 −0.1047 2.305 gb: BG836961 DB_XREF = gi: 14203284 Zm.6560.1.S1_a_at 3.95E−06 0.3094 −0.1021 2.428 gb: Z29518.1 DB_XREF = gi: 575959 Zm.6560.1.S1_at 4.13E−06 0.3083 −0.5382 9.188 gb: Z29518.1 DB_XREF = gi: 575959 ZmAffx.667.1.A1_at 4.19E−06 0.308 −0.1973 3.638 gb: AI734359 DB_XREF = gi: 5055472 Zm.9931.1.A1_at 4.36E−06 0.3071 −0.2746 4.617 gb: BM339241 DB_XREF = gi: 18169401 Zm.11852.1.A1_x_at 4.54E−06 0.3062 0.1797 −1.23 gb: CF013366 DB_XREF = gi: 32908553 Zm.520.1.S1_x_at 4.74E−06 0.3052 0.1057 −0.5001 gb: AF200528.1 DB_XREF = gi: 9622879 Zm.16977.1.S1_at 4.76E−06 0.3051 −0.04535 1.634 gb: AB102956.1 DB_XREF = gi: 38347685 Zm.16227.1.A1_at 4.77E−06 0.305 −0.2137 4.017 gb: BI180294 DB_XREF = gi: 14646105 Zm.5379.1.S1_at 4.91E−06 0.3043 0.4236 −3.132 gb: AI621513 DB_XREF = gi: 4630639 Zm.17720.1.A1_at 4.93E−06 0.3042 −0.08202 1.488 gb: BM340967 DB_XREF = gi: 18171127 Zm.588.1.S1_at 5.14E−06 0.3033 0.06464 0.1791 gb: AF142322.1 DB_XREF = gi: 4927258 Zm.18033.1.A1_at 5.17E−06 0.3031 −0.08471 2.06 gb: BM080835 DB_XREF = gi: 16927766 Zm.663.1.S1_at 5.22E−06 0.3029 −0.178 3.527 gb: AF318075.1 DB_XREF = gi: 14091009 Zm.16513.1.A1_at 5.27E−06 0.3027 −0.07343 1.845 gb: CF634462 DB_XREF = gi: 37394377 Zm.17307.1.S1_at 5.53E−06 0.3016 0.06901 −0.101 gb: CK367910 DB_XREF = gi: 40333840 Zm.13719.1.A1_at 5.64E−06 0.3011 −0.04963 1.62 gb: AY106357.1 DB_XREF = gi: 21209435 Zm.1611.1.A1_at  5.7E−06 0.3009 −0.09719 2.327 gb: AW787466 DB_XREF = gi: 7844244 Zm.6251.1.A1_at 5.77E−06 0.3006 −0.05725 1.778 gb: CD434479 DB_XREF = gi: 31350122 Zm.16854.1.S1_at  6.1E−06 0.2993 −0.08796 2.166 gb: CF674957 DB_XREF = gi: 37621904 Zm.7731.1.A1_at 6.19E−06 0.299 0.0859 −0.1337 gb: AI612464 DB_XREF = gi: 4621631 Zm.7074.1.A1_at 6.21E−06 0.2989 0.09015 −0.1237 gb: CF634632 DB_XREF = gi: 37394712 Zm.8376.1.S1_at 6.34E−06 0.2984 −0.07696 1.936 gb: BM073880 DB_XREF = gi: 16918753 Zm.14497.8.A1_x_at 6.36E−06 0.2983 0.06997 0.1062 gb: CO527469 DB_XREF = gi: 50332343 Zm.14590.1.A1_x_at 6.39E−06 0.2982 −0.1306 2.728 gb: AY110683.1 DB_XREF = gi: 21215273 Zm.15293.1.S1_a_at 6.49E−06 0.2978 −0.1162 2.534 gb: AF232008.2 DB_XREF = gi: 9313026 Zm.15282.1.A1_at 6.52E−06 0.2977 −0.1326 2.786 gb: BM382478 DB_XREF = gi: 18181268 Zm.520.1.S1_at 6.67E−06 0.2972 0.1149 −0.623 gb: AF200528.1 DB_XREF = gi: 9622879 Zm.10553.1.A1_at 6.93E−06 0.2963 −0.2323 4.09 gb: CD441187 DB_XREF = gi: 31356830 Zm.3428.1.A1_at 7.38E−06 0.2948 −0.1968 3.706 gb: AI964613 DB_XREF = gi: 5757326 ZmAffx.1083.1.A1_at  7.6E−06 0.2942 −0.09468 2.276 gb: AI974922 DB_XREF = gi: 5777303 Zm.6997.1.A1_at 7.72E−06 0.2938 0.045 0.4419 gb: BG874061 DB_XREF = gi: 14245479 Zm.16489.1.S1_at 7.76E−06 0.2937 0.06034 0.2686 gb: CF637893 DB_XREF = gi: 37401062 Zm.5851.3.A1_at 7.91E−06 0.2932 −0.4542 7.864 gb: AY104012.1 DB_XREF = gi: 21207090 Zm.19019.1.A1_at 8.06E−06 0.2928 −0.06012 1.716 gb: BM080703 DB_XREF = gi: 16927634 Zm.4880.1.S1_at 8.19E−06 0.2924 −0.0599 1.721 gb: CF627543 DB_XREF = gi: 37381330 Zm.3243.1.A1_at 8.21E−06 0.2924 0.08508 −0.1167 gb: AY105697.1 DB_XREF = gi: 21208775 Zm.19022.1.S1_at 8.43E−06 0.2917 −0.246 3.664 gb: CO526898 DB_XREF = gi: 50331772 Zm.13991.1.S1_at  8.5E−06 0.2915 0.07005 0.1974 gb: AW424608 DB_XREF = gi: 6952540 Zm.9867.1.A1_at 8.51E−06 0.2915 0.3098 −3.067 gb: AY106142.1 DB_XREF = gi: 21209220 Zm.6480.2.S1_a_at  8.6E−06 0.2912 0.04572 0.403 gb: AI065715 DB_XREF = gi: 30052426 Zm.6931.1.S1_a_at 9.14E−06 0.2898 −0.09601 2.355 gb: AY588275.1 DB_XREF = gi: 46560601 Zm.12942.1.A1_at 9.16E−06 0.2898 −0.5247 7.489 gb: CA402151 DB_XREF = gi: 24767006 Zm.889.2.S1_at 9.29E−06 0.2894 −0.6597 10.97 gb: CD439290 DB_XREF = gi: 31354933 Zm.6816.1.A1_at 9.86E−06 0.288 0.0469 0.3894 gb: AY104584.1 DB_XREF = gi: 21207662

TABLE 23 Maize Plot Yield Data Grain yield/lb per plot² Hybrid¹ Plot 1 Plot 2 Mean Training dataset B97 × B73 15.42 12.60 14.01 CML228 × B73 15.11 15.23 15.17 B73 × CML69 13.12 12.75 12.94 B73 × CML247 13.95 14.35 14.15 B73 × CML277 12.29 13.49 12.89 B73 × CML322 10.20 11.72 10.96 CML333 × B73 12.88 12.76 12.82 CML52 × B73 13.97 14.99 14.48 B73 × IL14H 9.43 7.06 8.24 B73 × Ki11 12.28 13.69 12.98 Ky21 × B73 11.82 12.43 12.13 B73 × M37W 13.88 13.80 13.84 B73 × Mo17 12.99 10.10 11.55 B73 × Mo18W 14.51 14.19 14.35 NC350 × B73 18.27 19.43 18.85 B73 × NC358 14.41 13.11 13.76 Oh43 × B73 11.83 12.11 11.97 P39 × B73 5.84 7.07 6.45 B73 × Tx303 10.25 13.42 11.83 Tzi8 B73 12.82 14.21 13.51 Test dataset B73 × CML103 14.16 14.86 14.51 B73 × Hp301 8.06 9.92 8.99 B73 × Ki3 12.14 14.15 13.15 B73 × OH7B 11.94 11.17 11.55 ¹Maternal parent listed first ²Corrected to 15% moisture

Program 1

job ‘kondara br-0 heterosis work’ output [width=132]1 variate [nvalues=22810]sec1,sec2,sec3,sec4,sec5,sec6,sec7,sec8,sec9,\    DK22,DKLD,DKSD,DB22,DBLD,DBSD,DBH22,DBHLD,DBHSD,DKH22,DKHLD,DKHSD, \    HBK22,HBKLD,HBKSD,KBH22,KBHLD,KBHSD,D_K22,D_KLD,D_KSD,H22,HLD,HSD, \    BDK22,BDKLD,BDKSD,HB22,HBLD,HBSD,HK22,HKLD,HKSD,B_K22,B_KLD,B_KSD, \    r22kb,rldkb,rsdkb,r22bk,rldbk,rsdbk,KHB22,KHBLD,KHBSD,BHK22,BHKLD, BHKSD,\    KDB22,KDBLD,KDBSD,BDK22,BDKLD,BDKSD,H22h,HLDh,HSDh,H22l,HLDl,HSDl, A,B,C,\    b_k22,b_kLD,b_kSD,K_H22h,K_HLDh,K_HSDh,B_H22h,B_HLDh,B_HSDh,\    HB22l,HBLDl,HBSDl,HB22h,HBLDh,HBSDh,\    HK22l,HKLDl,HKSDl,HK22h,HKLDh,HKSDh variate [values=1...22810]gene “*********************************READ BASIC EXPRESSION DATA*************************” open ‘x:\\daves\\reciprocals\\hk 22k.txt’;ch=2 read [ch=2;print=e,s;serial=n]h22,hld,hsd,k22,kld,ksd,b22,bld,bsd close ch=2 “        INITIAL SEED FOR RANDOM NUMBER GENERATION    ” scalar int,x,y scalar [value=54321]a   &   [value=78656]b   &   [value=17345]c output [width=132]1 “           OPEN OUTPUT FILE ” open ‘x:\\daves\\reciprocals\\hk 22k.out’;ch=3;width=132;filetype=o scalar [value=12345]a scalar [value=*]miss scalar [value=1]int “  CALCULATES COMPARISONS FOR THREEOFOLD DIFFERENCES ” “************************************* ratio of K : B *****************************” calc r22kb=k22/b22  &  rldkb=kld/bld  &  rsdkb=ksd/bsd “************************************* ratio of B : K *****************************”  &  r22bk=b22/k22  &  rldbk=bld/kld  &  rsdbk=bsd/ksd “*************************************  ratio of H : K *****************************”  &  r22hk=h22/k22  &  rldhk=hld/kld  &  rsdhk=hsd/ksd “*************************************  ratio of H : B *****************************”  &  r22hb=h22/b22  &  rldhb=hld/bld  &  rsdhb=hsd/bsd for k=1...22810 “************************************* B = H (within 2) *****************************”    for i=r22hb,rldhb,rsdhb;j=A,B,C;m=b22,bld,bsd;n=h22,hld,hsd;o=HB22l,HBLDl,HB SDl;p=HB22h, HBLDh, HBSDh       if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2))          calc elem(j;k)=int             else          calc elem(j;k)=miss       endif          calc x=elem(m;k)           &   y=elem(n;k) “  LOWEST VALUE OF B OR H ”       if (y.gt.x).and.(elem(j;k).eq.1)             calc elem(o;k)=x          elsif (x.gt.y).and.(elem(j;k).eq.1)             calc elem(o;k)=y          else             calc elem(o;k)=miss       endif “  HIGHEST VALUE OF B OR H ”       if (x.gt.y).and.(elem(j;k).eq.1)             calc elem(p;k)=x          elsif (y.gt.x).and.(elem(j;k).eq.1)             calc elem(p;k)=y          else             calc elem(p;k)=miss       endif    endfor “*************************************  K = H (within 2)*****************************”    for i=r22hk,rldhk,rsdhk;j=A,B,C;m=k22,kld,ksd;n=h22,hld,hsd;o=HK22l,HKLDl,HK SDl;p=HK22h,HKLDh,HKSDh       if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2))          calc elem(j;k)=int             else          calc elem(j;k)=miss       endif          calc x=elem(m;k)           &  y=elem(n;k) “  LOWEST VALUE OF K OR H ”       if (x.lt.y).and.(elem(j;k).eq.1)             calc elem(o;k)=x          elsif (y.lt.x).and.(elem(j;k).eq.1)             calc elem(o;k)=y          else             calc elem(o;k)=miss       endif “  HIGHEST VALUE OF K OR H ”       if (x.gt.y).and.(elem(j;k).eq.1)             calc elem(p;k)=x          elsif (y.gt.x).and.(elem(j;k).eg.1)             calc elem(p;k)=y          else             calc elem(p;k)=miss       endif    endfor “************************************* K = B (within 2) *****************************”    for i=r22kb,rldkb,rsdkb;j=A,B,C;m=k22,kld,ksd;n=b22,bld,bsd       if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2))          calc elem(j;k)=int             else          calc elem(j;k)=miss       endif    endfor “*********************************K = B (highest & lowest values)********************”    for i=r22kb,rldkb,rsdkb;j=A,B,C;m=k22,kld,ksd;n=b22,bld,bsd;o=B_K22,B_KLD,B_(—) KSD;p=b_k22,b_kLD,b_kSD          calc x=elem(m;k)           &  y=elem(n;k)       if (x.gt.y)             calc elem(o;k)=x          else             calc elem(o;k)=y       endif       if (x.lt.y)             calc elem(p;k)=x          else             calc elem(p;k)=y       endif    endfor endfor “************************************ratio of H : (K = B)  high values**************” calc H22h=h22/B_K22  &  HLDh=hld/B_KLD  &  HSDh=hsd/B_KSD “*************************************ratio of H : (K = B)  low values***************” calc H22l=h22/b_k22  &  HLDl=hld/b_kLD  &  HSDl=hsd/b_kSD “***********************************ratio of K : (B = H) ****************************” calc KDB22=k22/HB22h  &  KDBLD=kld/HBLDh  &  KDBSD=ksd/HBSDh “************************************ratio of B : (K = H)****************************” calc BDK22=b22/HK22h  &  BDKLD=bld/HKLDh  &  BDKSD=bsd/HKSDh “************************************ratio of (K = H − low values) : B ************” calc KHB22=HK22l/b22  &  KHBLD=HKLDl/bld  &  KHBSD=HKSDl/bsd “*************************************ratio of (B = H) : K***************************” calc BHK22=HB22l/k22  &  BHKLD=HBLDl/kld  &  BHKSD=HBSDl/ksd “*********************************************************************** *************” for k=1...22810 “***********************    SEC 1 ---- K>BR-0    ********************************”    if (elem(r22kb;k).gt.2).and.(elem(rldkb;k).gt.2).and.(elem(rsdkb;k).gt.2)       calc elem(sec1;k)=int          else       calc elem(sec1;k)=miss    endif “***********************SEC 2 ---- BR-0>K    *********************************”    if (elem(r22bk;k).gt.2).and.(elem(rldbk;k).gt.2).and.(elem(rsdbk;k).gt.2)       calc elem(sec2;k)=int          else       calc elem(sec2;k)=miss    endif “***********************SEC 3 ---- K AND H > B (BUT K = H)    *****************”    if (elem(KHB22;k).gt.2).and.(elem(KHBLD;k).gt.2).and.(elem(KHBSD;k).gt.2)       calc elem(sec3;k)=int          else       calc elem(sec3;k)=miss    endif “***********************SEC 4 ---- B AND H > K (BUT B = H)    *******************”    if (elem(BHK22;k).gt.2).and.(elem(BHKLD;k).gt.2).and.(elem(BHKSD;k).gt.2)       calc elem(sec4;k)=int          else       calc elem(sec4;k)=miss    endif “***********************SEC 5 K > B and H (BUT B = H)    ************************”    if (elem(KDB22;k).gt.2).and.(elem(KDBLD;k).gt.2).and.(elem(KDBSD;k).gt.2)       calc elem(sec5;k)=int          else       calc elem(sec5;k)=miss    endif “***********************SEC 6 ---- B > K and H (BUT K = H)    ************************”    if (elem(BDK22;k).gt.2).and.(elem(BDKLD;k).gt.2).and.(elem(BDKSD;k).gt.2)       calc elem(sec6;k)=int          else       calc elem(sec6;k)=miss    endif “***********************SEC 7 ---- H > B and K*********************************”    if (elem(H22h;k).gt.2).and.(elem(HLDh;k).gt.2).and.(elem(HSDh;k).gt.2)       calc elem(sec7;k)=int          else       calc elem(sec7;k)=miss    endif “***********************SEC 8 ---- H < B and K************************************”    if (elem(H22l;k).lt.0.5).and.(elem(HLDl;k).lt.0.5).and.(elem(HSDl;k).lt.0.5 )       calc elem(sec8;k)=int          else       calc elem(sec8;k)=miss    endif endfor “*********************************************************************** *************” for i=sec1,sec2,sec3,sec4,sec5,sec6,sec7,sec8;\    j=No1,No2,No3,No4,No5,No6,No7,No8;\    k=N1,N2,N3,N4,N5,N6,N7,N8;\    l=mv1,mv2,mv3,mv4,mv5,mv6,mv7,mv8       calc k=nvalues(i)        &  l=nmv(i)        &  j=k−l endfor print No1,No2,No3,No4,No5,No6,No7,No8 print [ch=3;iprint=*;rlprint=*;clprint=*]No1,No2,No3,No4,No5,No6,No7,No8 endfor stop

Program 2

job ‘kondara br-0 heterosis work’ output [width=132]1 variate [nvalues=22810]sec1,sec2,sec3,sec4,sec5,sec6,sec7,sec8,sec9,\    DK22,DKLD,DKSD,DB22,DBLD,DBSD,DBH22,DBHLD,DBHSD,DKH22,DKHLD,DKHSD, \    HBK22,HBKLD,HBKSD,KBH22,KBHLD,KBHSD,D_K22,D_KLD,D_KSD,H22,HLD,HSD, \    BDK22,BDKLD,BDKSD,HB22,HBLD,HBSD,HK22,HKLD,HKSD,B_K22,B_KLD,B_KSD, \    r22kb,rldkb,rsdkb,r22bk,rldbk,rsdbk,KHB22,KHBLD,KHBSD,BHK22,BHKLD, BHKSD,\    KDB22,KDBLD,KDBSD,BDK22,BDKLD,BDKSD,H22h,HLDh,HSDh,H22l,HLDl,HSDl, A,B,C,\    b_k22,b_kLD,b_kSD,K_H22h,K_HLDh,K_HSDh,B_H22h,B_HLDh,B_HSDh,\    HB22l,HBLDl,HBSDl,HB22h,HBLDh,HBSDh,\    HK22l,HKLDl,HKSDl,HK22h,HKLDh,HKSDh variate [values=1...22810]gene “*******************************READ BASIC EXPRESSION DATA***************************” open ‘x:\\daves\\reciprocals\\hk 22k.txt’;ch=2 read [ch=2;print=e,s;serial=n]h22,hld,hsd,k22,kld,ksd,b22,bld,bsd close ch=2 “        INITIAL SEED FOR RANDOM NUMBER GENERATION    ” scalar int,x,y scalar [value=54321]a   &  [value=78656]b   &  [value=17345]c output [width=132]1 “           OPEN OUTPUT FILE ”   open ‘x:\\daves\\reciprocals\\hk 22k.out’;ch=3;width=132;filetype=o   scalar [value=16598]a  scalar [value=*]miss   scalar [value=1]int  for [ntimes=250]       “START OF LOOP FOR BOOTSTRAPPING”  “  RANDOMISES ALL NINE VARIATES                ”  for i=b22,h22,k22,bld,hld,hsd,bsd,kld,ksd;\    j=b22,h22,k22,bld,hld,hsd,bsd,kld,ksd       calc a=a+1       calc xx=urand(a;22810)       calc j=sort(i;xx)  end for “  CALCULATES COMPARISONS FOR THREEOFOLD DIFFERENCES ” “**********************************ratio of K : B *****************************” calc r22kb=k22/b22  &  rldkb=kld/bld  &  rsdkb=ksd/bsd “**********************************ratio of B : K *****************************”  &  r22bk=b22/k22  &  rldbk=bld/kld  &  rsdbk=bsd/ksd “***********************************ratio of H : K *****************************”  &  r22hk=h22/k22  &  rldhk=hld/kld  &  rsdhk=hsd/ksd “********************************** ratio of H : B *****************************”  &  r22hb=h22/b22  &  rldhb=hld/bld  &  rsdhb=hsd/bsd for k=1...22810 “********************************* B = H (within 2) *****************************”    for i=r22hb,rldhb,rsdhb;j=A,B,C;m=b22,bld,bsd;n=h22,hld,hsd;o=HB22l,HBLDl,HBSDl ;p=HB22h,HBLDh,HBSDh       if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2))          calc elem(j;k)=int             else          calc elem(j;k)=miss       endif          calc x=elem(m;k)           &  y=elem(n;k) “  LOWEST VALUE OF B OR H ”       if (y.gt.x).and.(elem(j;k).eq.1)             calc elem(o;k)=x          elsif (x.gt.y).and.(elem(j;k).eq.1)             calc elem(o;k)=y          else             calc elem(o;k)=miss       endif “  HIGHEST VALUE OF B OR H ”       if (x.gt.y).and.(elem(j;k).eq.1)             calc elem(p;k)=x          elsif (y.gt.x).and.(elem(j;k).eq.1)             calc elem(p;k)=y          else             calc elem(p;k)=miss       endif    endfor “*********************************K = H (within 2) *****************************”    for i=r22hk,rldhk,rsdhk; j=A,B,C;m=k22,kld,ksd;n=h22,hld,hsd;o=HK22l,HKLDl,HKSDl ;p=HK22h,HKLDh,HKSDh       if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2))          calc elem(j;k)=int             else          calc elem(j;k)=miss       endif          calc x=elem(m;k)           &  y=elem(n;k) “  LOWEST VALUE OF K OR H ”       if (x.lt.y).and.(elem(j;k).eq.1)             calc elem(o;k)=x          elsif (y.lt.x).and.(elem(j;k).eq.1)             calc elem(o;k)=y          else             calc elem(o;k)=miss       endif “  HIGHEST VALUE OF K OR H ”       if (x.gt.y).and.(elem(j;k).eq.1)             calc elem(p;k)=x          elsif (y.gt.x).and.(elem(j;k).eq.1)             calc elem(p;k)=y          else             calc elem(p;k)=miss       endif    endfor “************************************K = B (within 2) *****************************”    for i=r22kb,rldkb,rsdkb;j=A,B,C;m=k22,kld,ksd;n=22,bld,bsd       if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2))          calc elem(j;k)=int             else          calc elem(j;k)=miss       endif    endfor “**********************************K = B (highest & lowest values)*******************”    for i=r22kb,rldkb,rsdkb;j=A,B,C;m=k22,kld,ksd;n=b22,bld,bsd;o=B_K22,B_KLD,B_(—) KSD;p=b_k22,b_kLD,b_kSD          calc x=elem(m;k)           &  y=elem(n;k)       if (x.gt.y)             calc elem(o;k)=x          else             calc elem(o;k)=y       endif       if (x.lt.y)             calc elem(p;k)=x          else             calc elem(p;k)=y       endif    endfor endfor “***********************************ratio of H : (K = B)  high values **************” calc H22h=h22/B_K22  &  HLDh=hld/B_KLD  &  HSDh=hsd/B_KSD “************************************ratio of H : (K = B)  low values***************” calc H22l=h22/b_k22  &  HLDl=hld/b_kLD  &  HSDl=hsd/b_kSD “***********************************ratio of K : (B = H) ****************************” calc KDB22=k22/HB22h  &  KDBLD=kld/HBLDh  &  KDBSD=ksd/HBSDh “***********************************ratio of B : (K = H) ****************************” calc BDK22=b22/HK22h  &  BDKLD=bld/HKLDh  &  BDKSD=bsd/HKSDh “***********************************ratio of (K = H − low values) : B ************” calc KHB22=HK22l/b22  &  KHBLD=HKLDl/bld  &  KHBSD=HKSDl/bsd “************************************ratio of (B = H) : K ***************************” calc BHK22=HB22l/k22  &  BHKLD=HBLDl/kld  &  BHKSD=HBSDl/ksd “*********************************************************************** *************” for k=1...22810 “***********************    SEC 1 ---- K>BR-0    ********************************”    if (elem(r22kb;k).gt.2).and.(elem(rldkb;k).gt.2).and.(elem(rsdkb;k).gt.2)       calc elem(sec1;k)=int          else       calc elem(sec1;k)=miss    endif “***********************SEC 2 ---- BR-0>K    *********************************”    if (elem(r22bk;k).gt.2).and.(elem(rldbk;k).gt.2).and.(elem(rsdbk;k).gt.2)       calc elem(sec2;k)=int          else       calc elem(sec2;k)=miss    endif “**********************SEC 3 ---- K AND H > B (BUT K = H)    ******************”    if (elem(KHB22;k).gt.2).and.(elem(KHBLD;k).gt.2).and.(elem(KHBSD;k).gt.2)       calc elem(sec3;k)=int          else       calc elem(sec3;k)=miss    endif “**********************SEC 4 ---- B AND H > K (BUT B = H)    *******************”    if (elem(BHK22;k).gt.2).and.(elem(BHKLD;k).gt.2).and.(elem(BHKSD;k).gt.2)       calc elem(sec4;k)=int          else       calc elem(sec4;k)=miss    endif “***********************SEC 5 ---- K > B and H (BUT B = H)    *********************”    if (elem(KDB22;k).gt.2).and.(elem(KDBLD;k).gt.2).and.(elem(KDBSD;k).gt.2)       calc elem(sec5;k)=int          else       calc elem(sec5;k)=miss    endif “*********************  SEC 6 ---- B > K and H (BUT K = H)    ************************”    if (elem(BDK22;k).gt.2).and.(elem(BDKLD;k).gt.2).and.(elem(BDKSD;k).gt.2)       calc elem(sec6;k)=int          else       calc elem(sec6;k)=miss    endif “*********************  SEC 7 ---- H > B and K *********************************”    if (elem(H22h;k).gt.2).and.(elem(HLDh;k).gt.2).and.(elem(HSDh;k).gt.2)       calc elem(sec7;k)=int          else       calc elem(sec7;k)=miss    endif “***********************SEC 8 ---- H < B and K ************************************”    if (elem(H221;k).lt.0.5).and.(elem(HLDl;k).lt.0.5).and.(elem(HSDl;k).lt.0.5 )       calc elem(sec8;k)=int          else       calc elem(sec8;k)=miss    endif endfor “*********************************************************************** *************” for i=sec1,sec2,sec3,sec4,sec5,sec6,sec7,sec8;\    j=No1,No2,No3,No4,No5,No6,No7,No8;\    k=N1,N2,N3,N4,N5,N6,N7,N8;\    l=mv1,mv2,mv3,mv4,mv5,mv6,mv7,mv8       calc k=nvalues(i)        &  l=nmv(i)        &  j=k−l endfor print No1,No2,No3,No4,No5,No6,No7,No8 endfor stop

Program 3

job ‘correlation & linear regression analysis of expression data for 30 22k chips hybrid‘ “  MID PARENT ADVANTAGE   ” set [diagnostic=fault] unit [32] output [width=132]1 open ‘x:\\daves\\linreg\\all 32 hybs data.txt’;channel=2;width=250 open ‘x:\\daves\\linreg\\fprob 32 hybs lin midp.out’;channel=3;filetype=o variate values=220.29,147.22,242.86,188.79,125.42,97.38,123.46,76.92, 104.48,103.61,    270.27,200.00,137.50,184.62,127.50,66.10,110.53,97.50,    121.26,138.46,63.53,124.56,103.23,108.33,128.74,122.89,    94.38,158.14,230.95,143.75,248.10,186.21]mpadv scalar [value=45454]a for [ntimes=22810] read [ch=2;print=*;serial=n]exp model exp fit [print=*]mpadv rkeep exp;meandev=resms;tmeandev=totms;tdf=df calc totss=totms*31    “= number of genotypes-1”  &  resss=resms*30    “= number of genotypes-2”  &  regms=(totss-resss)/1  &  regvr=regms/resms  &  fprob=1−(clf(regvr;1;30)) print [ch=3;iprint=*;squash=y] fprob,df          endfor close ch=2 stop

Program 4

job ‘correlation & linear regression analysis of expression data for 30 22k chips hybrid’ “  MID PARENT ADVANTAGE   ” set [diagnostic=fault] unit [32] output [width=132]1 open ‘x:\\daves\\linreg\\all 32 hybs data.txt’;channel=2;width=250 open ‘x:\\daves\\linreg\\fprob 32 hybs lin midpA boot.out’;channel=2;filetype=o &    ‘x:\\daves\\linreg\\fprob 32 hybs lin midpB boot.out’;channel=3;filetype=o &    ‘x:\\daves\\linreg\\fprob 32 hybs lin midpC boot.out’;channel=4;filetype=o &    ‘x:\\daves\\linreg\\fprob 32 hybs lin midpD boot.out’;channel=5;filetype=o variate values=220.29,147.22,242.86,188.79,125.42,97.38,123.46,76.92, 104.48,103.61,    270.27,200.00,137.50,184.62,127.50,66.10,110.53,97.50,121.26,    138.46,63.53,124.56,103.23,108.33,128.74,122.89,94.38,158.14,    230.95,143.75,248.10,186.21]mpadv scalar [value=89849]a for [ntimes=6000]    read [ch=2;print=*;serial=n]exp       for [ntimes1000]          calc a=a+1          calc y=urand(a;32)           & pex=sort(exp;y)             model pex             fit [print=*]mpadv             rkeep pex;meandev=resms;tmeandev=totms             calc totss=totms*31   “= number of genotypes-1”              &  resss=resms*30   “= number of genotypes-2”              &  regms=(totss-resss)/1              &  regvr=regms/resms              &  fprob=1−(clf(regvr;1;30))          print [ch=2;iprint=*;squash=yfprob                endfor    print [ch=2;iprint=*;squash=y]‘:’          endfor for [ntimes=6000]    read [ch=2;print=*;serial=n]exp    for [ntimes=1000]          calc a=a+1          calc y=urand(a;32)           &  pex=sort(exp;y)             model pex             fit [print=*]mpadv             rkeep pex;meandev=resms;tmeandev=totms             calc totss=totms*31   “= number of genotypes-1”              &  resss=resms*30   “= number of genotypes-2”              &  regms=(totss-resss)/1              &  regvr=regms/resms              &  fprob=1−(clf(regvr;1;30)) print [ch=3;iprint=*;squash=y] fprob             endfor          print [ch=3;iprint=*;squash=y]‘:’ endfor for [ntimes=6000]    read [ch=2;print=*;serial=n]exp    for [ntimes=1000]          calc a=a+1          calc y=urand(a;32)           &  pex=sort(exp;y)             model pex             fit [print=*]mpadv             rkeep pex;meandev=resms;tmeandev=totms             calc totss=totms*31   “= number of genotypes-1”              &  resss=resms*30   “= number of genotypes-2”              &  regms=(totss-resss)/1              &  regvr=regms/resms              &  fprob=1−(clf(regvr;1;30)) print [ch=4;iprint=*;squash=y]fprob             endfor          print [ch=4;iprint=*;squash=y]‘:’          endfor for [ntimes=4810]    read [ch=2;print=*;serial=n]exp    for [ntimes=1000]          calc a=a+1          calc y=urand(a;32)           &  pex=sort(exp;y)             model pex             fit [print=*]mpadv             rkeep pex;meandev=resms;tmeandev=totms             calc totss=totms*31   “= number of genotypes-1”              &  resss=resms*30   “= number of genotypes-2”              &  regms=(totss-resss)/1              &  regvr=regms/resms              &  fprob=1−(clf(regvr;1;30)) print [ch=5;iprint=*;squash=y]fprob             endfor          print [ch=5;iprint=*;squash=y]‘:’ endfor close ch=2 close ch=3 close ch=4 close ch=5 stop

Program 5

job ‘BOOTSTRAP of linear regression analysis of expression data for 32 hybrid 22k chips ’ “   MID PARENT ADVANTAGE   ” open  ‘x:\\daves\\linreg\\fprob 32 hybs lin midpA boot.out’;channel=2 &   ‘x:\\daves\\linreg\\fprob 32 hybs lin midpB boot.out’;channel=3 &   ‘x:\\daves\\linreg\\fprob 32 hybs lin midpC boot.out’;channel=4 &   ‘x:\\daves\\linreg\\fprob 32 hybs lin midpD boot.out’;channel=5 for [ntimes=6000] read [ch=2;print=*;serial=y]coeff sort [dir=d]coeff;bootstrap calc p05minus=elem(bootstrap;950)  & p01minus=elem(bootstrap;990)  & p001minus=elem(bootstrap;999) print [iprint=*;squash=y]p05minus,p01minus,p001minus endfor close ch=2 for [ntimes=6000] read [ch=3;print=*;serial=y]coeff sort [dir=d]coeff;bootstrap calc p05minus=elem(bootstrap;950)  & p01minus=elem(bootstrap;990)  & p001minus=elem(bootstrap;999) print [iprint=*;squash=y]p05minus,p01minus,p01minus endfor close ch=3 for [ntimes=6000] read [ch=4;print=*;serial=y]coeff sort [dir=d]coeff;bootstrap calc p05minus=elem(bootstrap;950)  & p01minus=elem(bootstrap;990)  & p001minus=elem(bootstrap;999) print [iprint=*;squash=y]p05minus,p01minus,p001minus endfor close ch=4 for [ntimes=4810] read [ch=5;print=*;serial=y]coeff sort [dir=d]coeff;bootstrap calc p05minus=elem(bootstrap;950)  & p01minus=elem(bootstrap;990)  & p001minus=elem(bootstrap;999) print [iprint=*;squash=y]p05minus,p01minus,p001minus endfor close ch=5 stop

GenStat Programme 1˜Basic Regression Programme

job ‘Basic Regression Programme’ “    ORDER OF ORIGINAL DATA      Ag-0 P1 Ag-0 P2 Ag-0 P3 BR-0 P1 Br-0 P2 Br-0 P3 Col-0 P1 Ct-1 P1 Ct-1 P2 Ct-1 P3 Cvi-0 P1 Cvi-0 P2 Cvi-0 P3     Ga-0 P1 Gy-0 P1 Gy-0 P2 Gy-0 P3 Kondara P1 Kondara P2 Kondara P3 Mz-0 P1Mz-0 P2 Mz-0 P3 Nok-2 P1     Sorbo P1  Ts-5 P1  Wt-5 P1  ms1  1  ms1  2  ms1  3  ms1  4  ms1 5 ”   “DATA ORDER IS OPTIONAL” “  Data Input Files ” set [diagnostic=fault] unit [32] “NUMBER OF GENECHIPS” output [width=132]1 open ‘x:\\daves\\linreg\\all 32 hybs data.txt’;channel=2;width=250    “FILE WITH EXPRESSION DATA ” open ‘x:\\daves\\linreg\\fprob 32 hybs lin midp.out’;channel=3;filetype=o “OUTPUT FILE” variate [values=220.29,147.22,242.86,188.79,125.42,97.38,123.46,    76.92,104.48,103.61,270.27,200.00,137.50,184.62,\    127.50,66.10,110.53,97.50,121.26,138.46,63.53,124.56,103.23,108.33, 128.74,122.89,94.38,158.14,\      230.95,143.75,248.10,186.21]mpadv “TRAIT DATA” scalar [value=45454]a for [ntimes=22810] “NUMBER OF GENES” read [ch=2;print=*;serial=n]exp model exp fit [print=*]mpadv rkeep exp;meandev=resms;tmeandev=totms;tdf=df;“est=fd”            “Use to calculate Rsq Slope and Intercept” “scalar intcpt,slope equate [oldform=!(1,−1)]fd;intcpt   & [oldform=!(−1,1)]fd;slope” “Regression Model” calc totss=totms*31 “= number of GeneChips −1”  & resss=resms*30 “= number of GeneChips −2”  & regms=(totss−resss)/1  & regvr=regms/resms  & fprob=1−(clf(regvr;1;30))“= number of GeneChips −2” print [ch=3;iprint=*;squash=y]“resms,totms,regms,resss,totss,regvr,“fprob,df,” rsq,slope,intcpt” “OUTPUT OPTIONS” endfor close ch=2 stop

GenStat Programme 2˜Basic Prediction Regression Programme

job ‘Basic Prediction Regression Programme’ set [diagnostic=fault] unit [33] output [width=250]1 open ‘x:\\Heterosis\\daves\\Predict\\MPH sept05\\BPH pred\\maleparhet 0.1% genes.txt’;channel=2;width=250 “INPUT FILE ” open ‘x:\\Heterosis\\daves\\Predict\\MPH sept05\\BPH pred\\maleparhet 0.1% genes.out’;channel=3;filetype=o    “OUTPUT FILE ” variate  [values=97.70,97.70,97.70,130.90,130.90,130.90,103.44,103.44, 103.44,138.89,\   138.89,138.89,96.18,96.18,141.41,141.41,156.36,156.36,145.77, 145.77,150.80,\   150.80,150.80,282.42,282.42,385.39,385.39,430.10,430.10, 430.10,205.71,205.71,\    205.71]mpadv “TRAIT DATA” scalar [value=68342]a for [ntimes=706]“Number of Genes” read [ch=2;print=*;serial=n]exp model exp fit [print=*]mpadv rkeep exp;meandev=resms;tmeandev=totms;tdf=df calc totss=totms*32 “= number of genotypes-1”  & resss=resms*31 “= number of genotypes-2”  & regms=(totss−resss)/1  & regvr=regms/resms  & fprob=1−(clf(regvr;1;31))“= number of genotypes-2” predict [print=*;prediction=bin]mpadv;levels=!(95,105,115,125,135,145,155, 165,175,185,195,250,350,450 )“BINS, COVERING RANGE OF DATA” print [ch=3;iprint=*;clprint=*;rlprint=*]bin  & [ch=3;iprint=*;clprint=*]‘:’ endfor close ch=2 stop

GenStat Programme 3˜Prediction Extraction Programme

job ‘Prediction Extraction Programme  ’ “   MID PARENT ADVANTAGE   ” set [diagnostic=fault] variate  [values=95,105,115,125,135,145,155,165,175,185,195,250,350,  450]mpadv “BIN DATA FROM PREDICTION REGRESSION PROGRAMME” variate [values=*]miss scalar [value=0]gene,Estimate output [width=200]1 open ‘x:\\Heterosis\\daves\\predict\\MPH sept05\\BPH pred\\KasLLSha MalepredprobesSept05_0.1%.txt’;channel=2;width=500   “file with test parent data” open ‘x:\\Heterosis\\daves\\Predict\\MPH sept05\\BPH pred\\maleparhet 0.1% genes.out’;channel=3“file with calibration data” calc y=0  & z=1 for [ntimes=2118] “Number of test genes X Number of Parents”  calc y=y+1  if y.eq.z    read [ch=3;print*;serial=n]bin “ 11 bins = 11 values”    calc z=z+3 “No of test parents”    print ‘:’  endif    read [ch=2;print=*;serial=n]exp      model mpadv      fit [print=*]bin      rkeep mpadv;meandev=resms;tmeandev=totms;tdf=df      calc totss=totms*10 “= number of genotypes- 1”       & resss=resms*9 “= number of genotypes- 2”       & regms=(totss−resss)/1       & regvr=regms/resms       & fprob=1−(clf(regvr;1;9))“= number of genotypes-2”      predict [print=*;prediction=estimate]bin;levels=exp  “should be scalar == or restricted variate”  if (estimate.lt.50) “FOR CAPPED PREDICTION, THIS IS THE LOWER  CAP”   calc Estimate=miss  elsif (estimate.gt.455)“FOR CAPPED PREDICTION, THIS IS THE  UPPER CAP”   calc Estimate=miss  else   calc Estimate=estimate  endif      calc gene=gene+1      print [iprint=*;rlprint=*;squash=y]gene,Estimate,estimate endfor close ch=2 stop

GenStat Programme 4˜Basic Best Predictor Programme

job ‘Basic Best Predictor Programme’ text  [values=B73×B97,CML103,CML228,CML247,CML277,CML322,        CML333,CML52,IL14H,\Ki11,Ky21,M37W,Mo18W, NC350,NC358,Oh43,P39,Tx303,Tzi8]l “Name of Accessions”  & [values=‘chip 1’,‘chip 2’]c “Number of Replicates” factor [labels=l]line  & [labels=c]chip factor gene open ‘X:\\Heterosis\\daves\\Predictive gene id\\prediction data.dat’;ch=2 “Input File” read [ch=2;print=*;serial=n]gene,raw,line,chip,actual;frep=l,*,l,l,* calc delta=raw-actual  & ratio=raw/actual tabulate [class=gene;print=*]delta;means=Delta;nobs=number;var=t3 calc se_delta=sqrt(t3)/sqrt(number) tabulate [class=gene;print=*]ratio;means=Ratio;var=t7 calc se_ratio=sqrt(t7)/sqrt(number) print number,Delta,se_delta,Ratio,se_ratio;fieldwidth=20;dec=0,2,2,3,4 stop

GenStat Programme 5˜Basic Linear Regression Bootstrapping Programme

 job ‘Basic Linear Regression Bootstrapping Programme’  “    Data Input Files ”  set [diagnostic=fault]  unit [32]“NUMBER OF GENECHIPS”  output [width=132]1  open ‘x:\\daves\\linreg\\all 32 hybs data.txt’;channel=2;width=250 “FILE WITH EXPRESSION DATA ”  open ‘x:\\daves\\linreg\\fprob 32 hybs lin midpA  boot.out’;channel=2;filetype=o “OUTPUT FILES ”  &   ‘x:\\daves\\linreg\\fprob 32 hybs lin midpB  boot.out’;channel=3;filetype=o  &   ‘x:\\daves\\linreg\\fprob 32 hybs lin midpC  boot.out’;channel=4;filetype=o  &   ‘x:\\daves\\linreg\\fprob 32 hybs lin midpD  boot.out’;channel=5;filetype=o  variate  [values=220.29,147.22,242.86,188.79,125.42,97.38,123.46,76.92,104.48,  103.61,270.27,200.00,137.50,184.62,\  127.50,66.10,110.53,97.50,121.26,138.46,63.53,124.56,103.23,108.33,  128.74,122.89,94.38,158.14,\   230.95,143.75,248.10,186.21]mpadv “TRAIT DATA”  scalar [value=89849]a “SEED NUMBER”  for [ntimes=6000]“NUMBER OF GENES TO ANALYSE IN THIS  SECTION”  read [ch=2;print=*;serial=n]exp   for [ntimes=1000]“NUMBER OF RANDOMISATIONS”    calc a=a+1    calc y=urand(a;32)“NUMBER OF GENECHIPS TO    RANDOMISE”     & pex=sort(exp;y)     model pex     fit [print=*]mpadv     rkeep pex;meandev=resms;tmeandev=totms     calc totss=totms*31 “= number of  genotypes-1”      & resss=resms*30 “= number of  genotypes-2”      & regms=(totss-resss)/1      & regvr=regms/resms      & fprob=1−(clf(regvr;1;30)) “= number of  genotypes-2”    print  [ch=2;iprint=*;squash=y]“resms,totms,regms,resss,totss,regvr,”fprob   endfor  print [ch=2;iprint=*;squash=y]‘:’  endfor  for [ntimes=6000] “NUMBER OF GENES TO ANALYSE IN THIS  SECTION“  read [ch=2;print=*;serial=n]exp  for [ntimes=1000]“NUMBER OF RANDOMISATIONS”    calc a=a+1    calc y=urand(a;32)“NUMBER OF GENECHIPS TO    RANDOMISE”     & pex=sort(exp;y)     model pex     fit [print=*]mpadv     rkeep pex;meandev=resms;tmeandev=totms     calc totss=totms*31 “= number of  genotypes-1”      & resss=resms*30 “= number of  genotypes-2”      & regms=(totss−resss)/1      & regvr=regms/resms      & fprob=1−(clf(regvr;1;30))“= number of  genotypes-2”  print  [ch=3;iprint=*;squash=y]“resms,totms,regms,resss,totss,regvr,”fprob  endfor    print [ch=3;iprint=*;squash=y]‘:’  endfor  for [ntimes=6000]“NUMBER OF GENES TO ANALYSE IN THIS  SECTION”  read [ch=2;print=*;serial=n]exp  for [ntimes=1000]“NUMBER OF RANDOMISATIONS”     calc a=a+1     calc y=urand(a;32)“NUMBER OF GENECHIPS TO    RANDOMISE”      & pex=sort(exp;y)     model pex     fit [print=*]mpadv     rkeep pex;meandev=resms;tmeandev=totms     calc totss=totms*31 “= number of genotypes-1”       & resss=resms*30 “= number of genotypes-2”       & regms=(totss−resss)/1       & regvr=regms/resms       & fprob=1−(clf(regvr;1;30))“= number of genotypes-2”  print  [ch=4;iprint=*;squash=y]“resms,totms,regms,resss,totss,regvr,”fprob  endfor    print [ch=4;iprint*;squash=y]‘:’  endfor  for [ntimes=4810]“NUMBER OF GENES TO ANALYSE IN THIS  SECTION”  read [ch=2;print=*;serial=n]exp  for [ntimes=1000]“NUMBER OF RANDOMISATIONS”    calc a=a+1    calc y=urand(a;32)“NUMBER OF GENECHIPS TO    RANDOMISE”     & pex=sort(exp;y)     model pex     fit [print=*]mpadv     rkeep pex;meandev=resms;tmeandev=totms     calc totss=totms*31 “= number of  genotypes-1”      & resss=resms*30 “= number of  genotypes-2”      & regms=(totss−resss)/1      & regvr=regms/resms      & fprob=1−(clf(regvr;1;30))“= number of  genotypes-2”  print  [ch=5;iprint=*;squash=y]“resms,totms,regms,resss,totss,regvr,”fprob  endfor    print [ch=5;iprint=*;squash=y]‘:’ endfor close ch=2 close ch=3 close ch=4 close ch=5 stop

GenStat Programme 6˜Basic Linear Regression Bootstrapping Data Extraction Programme

 job ‘Basic Linear Regression Bootstrapping Data Extraction Programme ’ “    DATA INPUT FILES ”  open ‘x:\\daves\\linreg\\fprob 32 hybs lin midpA boot.out’;channel=2  “INPUT FILES” &    ‘x:\\daves\\linreg\\fprob 32 hybs lin midpB boot.out ’;channel=3 &    ‘x:\\daves\\linreg\\fprob 32 hybs lin midpC boot.out’;channel=4 &    ‘x:\\daves\\linreg\\fprob 32 hybs lin midpD boot.out’;channel=5  for [ntimes=6000]    “FIRST INPUT FILE NUMBER OF GENES”  read [ch=2;print=*;serial=y]coeff  sort [dir=a]coeff;bootstrap  calc p05plus=elem(bootstrap;50)  & p01plus=elem(bootstrap;10)  & p001plus=elem(bootstrap;1)  print [iprint=*;squash=y]p05plus,p01plus,p001plus “Extracts 5, 1 and  0.1% Significance levels”  endfor  close ch=2  for [ntimes=6000] “SECOND INPUT FILE NUMBER OF GENES”  read [ch=3;print=*;serial=y]coeff  sort [dir=a]coeff;bootstrap  calc p05plus=elem(bootstrap;50)  & p01plus=elem(bootstrap;10)  & p001plus=elem(bootstrap;1) print [iprint=*;squash=y]p05plus,p01plus,p001plus endfor close ch=3 for [ntimes=6000] “THIRD INPUT FILE NUMBER OF GENES” read [ch=4;print=*;serial=y]coeff sort [dir=a]coeff;bootstrap calc p05plus=elem(bootstrap;50)  & p01plus=elem(bootstrap;10)  & p001plus=elem(bootstrap;1) print [iprint=*;squash=y]p05plus,p01plus,p001plus print  [iprint=*;squash=y]“p05plus,p01plus,p001plus,”p05minus,p01minus, p001minus endfor close ch=4 12 for [ntimes=4810] “FOURTH INPUT FILE NUMBER OF GENES”  read [ch=5;print=*;serial=y]coeff  sort [dir=a]coeff;bootstrap  calc p05plus=elem(bootstrap;50)  & p01plus=elem(bootstrap;10)  & p001plus=elem(bootstrap;1)  print [iprint=*;squash=y]p05plus,p01plus,p001plus  endfor  close ch=5  stop

GenStat Programme 7˜Basic Transcriptome Remodelling Programme

job ‘Basic Transcriptome Remodelling Programme ’ output [width=132]1 variate [nvalues=22810]sec1,sec2,sec3,sec4,sec5,sec6,sec7,sec8,sec9,\  DK22,DKLD,DKSD,DB22,DBLD,DBSD,DBH22,DBHLD,DBHSD,DKH22,DKHLD,DKHSD, \  HBK22,HBKLD,HBKSD,KBH22,KBHLD,KBHSD,D_K22,D_KLD,D_KSD,H22,HLD,HSD, \  BDK22,BDKLD,BDKSD,HB22,HBLD,HBSD,HK22,HKLD,HKSD,B_K22,B_KLD,B_KSD, \  r22kb,rldkb,rsdkb,r22bk,rldbk,rsdbk,KHB22,KHBLD,KHBSD,BHK22,BHKLD, BHKSD,\  KDB22,KDBLD,KDBSD,BDK22,BDKLD,BDKSD,H22h,HLDh,HSDh,H22l,HLDl,HSDl, A,B,C,\  b_k22,b_kLD,b_kSD,K_H22h,K_HLDh,K_HSDh,B_H22h,B_HLDh,B_HSDh,\  HB22l,HBLDl,HBSDl,HB22h,HBLDh,HBSDh,\  HK22l,HKLDl,HKSDl,HK22h,HKLDh,HKSDh “FILE IDENTIFIERS-IGNORE” variate [values=1...22810]gene “*********************************  READ BASIC EXPRESSION DATA ******************************” open ‘x:\\daves\\reciprocals\\hb 22k.txt’;ch=2 “INPUT FILE” read [ch=2;print=e,s;serial=n]h22,hld,hsd,k22,kld,ksd,b22,bld,bsd close ch=2 “         INITIAL SEED FOR RANDOM NUMBER GENERATION  ” scalar int,x,y scalar [value=54321]a  & [value=78656]b  & [value=17345]c output [width=132]1 “            OPEN OUTPUT FILE  ” open ‘x:\\daves\\reciprocals\\hk 22k.out’;ch=3;width=132;filetype=o “OUTPUT FILE” scalar [value=12345]a scalar [value=*]miss scalar [value=1]int “     CALCULATES COMPARISONS FOR THREEOFOLD DIFFERENCES ” “*************************************   ratio of K : B *****************************” calc r22kb=k22/b22  & rldkb=kld/bld  & rsdkb=ksd/bsd “*************************************   ratio of B : K *****************************”  & r22bk=b22/k22  & rldbk=bld/kld  & rsdbk=bsd/ksd “*************************************   ratio of H : K *****************************”  & r22hk=h22/k22  & rldhk=hld/kld  & rsdhk=hsd/ksd “*************************************   ratio of H : B *****************************”  & r22hb=h22/b22  & rldhb=hld/bld  & rsdhb=hsd/bsd for k=1...22810 “*************************************   B = H (within 2) *****************************”  for i=r22hb,rldhb,rsdhb;j=A,B,C;m=b22,bld,bsd;n=h22,hld,hsd;o=HB22l,HBLDl,HBSDl ;p=HB22h,HBLDh,HBSDh   if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2)) “SETS FOLD LEVELS”    calc elem(j;k)=int     else    calc elem(j;k)=miss   endif    calc x=elem(m;k)     & y=elem(n;k) “     LOWEST VALUE OF B OR H     ”   if (y.gt.x).and.(elem(j;k).eq.1)     calc elem(o;k)=x    elsif (x.gt.y).and.(elem(j;k).eq.1)     calc elem(o;k)=y    else     calc elem(o;k)=miss   endif “     HIGHEST VALUE OF B OR H     ”   if (x.gt.y).and.(elem(j;k).eq.1)     calc elem(p;k)=x    elsif (y.gt.x).and.(elem(j;k).eq.1)     calc elem(p;k)=y    else     calc elem(p;k)=miss   endif  endfor “*************************************   K = H (within 2) *****************************”  for i=r22hk,rldhk,rsdhk;j=A,B,C;m=k22,kld,ksd;n=h22,hld,hsd;o=HK22l,HKLDl,HKSDl ;p=HK22h,HKLDh,HKSDh   if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2))    calc elem(j;k)=int     else    calc elem(j;k)=miss   endif    calc x=elem(m;k)     & y=elem(n;k) “     LOWEST VALUE OF K OR H     ”   if (x.lt.y).and.(elem(j;k).eq.1)     calc elem(o;k)=x    elsif (y.lt.x).and.(elem(j;k).eq.1)     calc elem(o;k)=y    else     calc elem(o;k)=miss   endif “     HIGHEST VALUE OF K OR H     ”   if (x.gt.y).and.(elem(j;k).eq.1)     calc elem(p;k)=x    elsif (y.gt.x).and.(elem(j;k).eq.1)     calc elem(p;k)=y    else     calc elem(p;k)=miss   endif  endfor “*************************************   K = B (within 2) *****************************”  for i=r22kb,rldkb,rsdkb;j=A,B,C;m=k22,kld,ksd;n=b22,bld,bsd   if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2))    calc elem(j;k)=int     else    calc elem(j;k)=miss   endif  endfor “*************************************   K = B (highest & lowest values) *************************”  for i=r22kb,rldkb,rsdkb;j=A,B,C;m=k22,kld,ksd;n=b22,bld,bsd;o=B_K22,B_KLD,B_(—) KSD;p=b_k22,b_kLD,b_kSD    calc x=elem(m;k)     & y=elem(n;k)   if (x.gt.y)     calc elem(o;k)=x    else     calc elem(o;k)=y   endif   if (x.lt.y)     calc elem(p;k)=x    else     calc elem(p;k)=y   endif  endfor endfor “*************************************   ratio of H : (K = B) high values  **************” calc H22h=h22/B_K22  & HLDh=hld/B_KLD  & HSDh=hsd/B_KSD “*************************************   ratio of H : (K = B) low values  ***************” calc H22l=h22/b_k22  & HLDl=hld/b_kLD  & HSDl=hsd/b_kSD “*************************************   ratio of K : (B = H) ****************************” calc KDB22=k22/HB22h  & KDBLD=kld/HBLDh  & KDBSD=ksd/HBSDh “*************************************   ratio of B : (K = H) ****************************” calc BDK22=b22/HK22h  & BDKLD=bld/HKLDh  & BDKSD=bsd/HKSDh “*************************************   ratio of (K = H − low values) : B   ************” calc KHB22=HK22l/b22  & KHBLD=HKLDl/bld  & KHBSD=HKSDl/bsd “*************************************   ratio of (B = H) : K ****************************” calc BHK22=HB22l/k22  & BHKLD=HBLDl/kld  & BHKSD=HBSDl/ksd “*********************************************************************** ****************” for k=1...22810 “***********************    SEC 1 ---- K>BR-0  ********************************”  if (elem(r22kb;k).gt.2).and.(elem(rldkb;k).gt.2).and.(elem(rsdkb;k).gt.2)   calc elem(sec1;k)=int    else   calc elem(sec1;k)=miss  endif “***********************    SEC 2 ---- BR-0>K  *********************************”  if (elem(r22bk;k).gt.2).and.(elem(rldbk;k).gt.2).and.(elem(rsdbk;k).gt.2)   calc elem(sec2;k)=int    else   calc elem(sec2;k)=miss  endif “***********************    SEC 3 ---- K AND H > B (BUT K = H)  ******************”  if (elem(KHB22;k).gt.2).and.(elem(KHBLD;k).gt.2).and.(elem(KHBSD;k).gt.2)   calc elem(sec3;k)=int    else   calc elem(sec3;k)=miss  endif “***********************    SEC 4 ---- B AND H > K (BUT B = H)  *******************”  if (elem(BHK22;k).gt.2).and.(elem(BHKLD;k).gt.2).and.(elem(BHKSD;k).gt.2)   calc elem(sec4;k)=int    else   calc elem(sec4;k)=miss  endif “***********************    SEC 5 ---- K > B and H (BUT B = H)  *********************”  if (elem(KDB22;k).gt.2).and.(elem(KDBLD;k).gt.2).and.(elem(KDBSD;k).gt.2)   calc elem(sec5;k)=int    else   calc elem(sec5;k)=miss  endif “***********************    SEC 6 ---- B > K and H (BUT K = H)  ************************”  if (elem(BDK22;k).gt.2).and.(elem(BDKLD;k).gt.2).and.(elem(BDKSD;k).gt.2)   calc elem(sec6;k)=int    else   calc elem(sec6;k)=miss  endif “***********************    SEC 7 ---- H > B and K  *********************************”  if (elem(H22h;k).gt.2).and.(elem(HLDh;k).gt.2).and.(elem(HSDh;k).gt.2)   calc elem(sec7;k)=int    else   calc elem(sec7;k)=miss  endif “***********************    SEC 8 ---- H < B and K  ************************************”  if (elem(H22l;k).lt.0.5).and.(elem(HLDl;k).lt.0.5).and.(elem(HSDl.k).lt.0.5)   calc elem(sec8;k)=int    else   calc elem(sec8;k)=miss  endif endfor “*********************************************************************** ******************************” print gene,sec1,sec2,sec3,sec4,sec5,sec6,sec7,sec8 for i=sec1,sec2,sec3,sec4,sec5,sec6,sec7,sec8;\  j=No1,No2,No3,No4,No5,No6,No7,No8;\  k=N1,N2,N3,N4,N5,N6,N7,N8;\  l=mv1,mv2,mv3,mv4,mv5,mv6,mv7,mv8   calc k=nvalues(i)    & l=nmv(i)    & j=k−l endfor print No1,No2,No3,No4,No5,No6,No7,No8 stop

GenStat Programme 8˜Dominance Pattern Programme

job ‘Dominance Pattern Programme’ scalar AG1M,AG1,AG2M,AG2,AG3M,AG3,CT1M,CT1,CT2M,CT2,CT3M,CT3,\  CV1M,CV1,CV2M,CV2,CV3M,CV3,GY1M,GY1,GY2M,GY2,GY3M,GY3,K1M,\  K1,K2M,K2,K3M,K3,MZ1M,MZ1,MZ2M,MZ2,MZ3M,MZ3,BK1M,BK1,BK2M,\  BK2,BK3M,BK3,KB1M,KB1,KB2M,KB2,KB3M,KB3 “genotypes names/bins for calculations” scalar [value=48]a “starting value for equate directive”  &   [value=12345]seed “seed value for randomisation”  &   [value=*]miss “missing value”  & [value=0]AGEQ,AGGT,AGLT,CTEQ,CTGT,CTLT,CVEQ,CVGT,CVLT,GYEQ,GYGT,GYLT,\   KEQ,KGT,KLT,MZEQ,MZGT,MZLT,BKEQ,BKGT,BKLT,KBEQ,KBGT,KBLT  “scalars for total signifiant genes” variate  [nvalues=48]gene  &   [nvalues=22810]AG,CT,CV,GY,K,MZ,BK,KB  & [nvalues=3]eqAG,gtAG,ltAG,eqCT,gtCT,ltCT,eqCV,gtCV,ltCV,eqGY,gtGY,ltGY,\   eqK,gtK,ltK,eqMZ,gtMZ,ltMZ,eqBK,gtBK,ltBK,eqKB,gtKB,ltKB output [width=400]1 “         OPEN OUTPUT FILE  ” open ‘x:\\daves\\Dominance method\\dom 2 fold.out’;ch=3;width=300;filetype=o “OUTPUT FILE” open ‘x:\\daves\\Dominance method\\Expression datab.txt’;ch=2;width=500 “INPUT FILE” read [ch=2;print=e,s;serial=n]EXP close ch=2 for i=1...22810 “reads through data gene by gene”  calc a=a−48 “incremnets data”  equate [oldformat=!(a,48)]EXP;gene “puts data in one variate per gene”  “randomises variate for subsequent calculations  calc nege=rand(gene;seed)” “places data for 1 gene at a time into variate bins”  for geno=AG1M,AG1,AG2M,AG2,AG3M,AG3,CT1M,CT1,CT2M,CT2,CT3M,CT3,CV1M,CV1,CV2M, CV2,CV3M,CV3,\  GY1M,GY1,GY2M,GY2,GY3M,GY3,K1M,K1,K2M,K2,K3M,K3,MZ1M,MZ1,MZ2M,MZ2, NZ3M,MZ3,BK1M,BK1,\   BK2M,BK2,BK3M,BK3,KB1M,KB1,KB2M,KB2,KB3M,KB3;\   j=1...48   calc geno=elem(gene;j)  endfor “calculation of ratios”   for genom=AG1M,AG2M,AG3M,CT1M,CT2M,CT3M,CV1M,CV2M,CV3M,GY1M,GY2M,GY3M,K1M,\   K2M,K3M,MZ1M,MZ2M,MZ3M,BK1M,BK2M,BK3M,KB1M,KB2M,KB3M;\   genoh=AG1,AG2,AG3,CT1,CT2,CT3,CV1,CV2,CV3,GY1,GY2,GY3,\   K1,K2,K3,MZ1,MZ2,MZ3,BK1,BK2,BK3,KB1,KB2,KB3;\ ratio=rAG1,rAG2,rAG3,rCT1,rCT2,rCT3,rCV1,rCV2,rCV3,rGY1,rGY2,rGY3,\   rK1,rK2,rK3,rMZ1,rMZ2,rMZ3,rBK1,rBK2,rBK3,rKB1,rKB2,rKB3;\ hEQmp=eqAG,eqAG,eqAG,eqCT,eqCT,eqCT,eqCV,eqCV,eqCV,eqGY,eqGY,eqGY,\   eqK,eqK,eqK,eqMZ,eqMZ,eqMZ,eqBK,eqBK,eqBK,eqKB,eqKB,eqKB;\ hGTmp=gtAG,gtAG,gtAG,gtCT,gtCT,gtCT,gtCV,gtCV,gtCV,gtGY,gtGY,gtGY,\   gtK,gtK,gtK,gtMZ,gtMZ,gtMZ,gtBK,gtBK,gtBK,gtKB,gtKB,gtKB;\ hLTmp=ltAG,ltAG,ltAG,ltCT,ltCT,ltCT,ltCV,ltCV,ltCV,ltGY,ltGY,ltGY,\   ltK,ltK,ltK,ltMZ,ltMZ,ltMZ,ltBK,ltBK,ltBK,ltKB,ltKB,ltKB;\   k=1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3    calc ratio=genoh/genom “calculates ratios”     calc heqmp=miss      & hgtmp=miss      “sets default flag values”      & hltmp=miss   if (ratio.ge.0.5).and.(ratio.le.2) “SETS FOLD LEVEL”     calc heqmp=1    elsif (ratio.gt.2) “SETS UPPER FOLD LEVEL”     calc hgtmp=1    elsif (ratio.lt.0.5) “SETS LOWER FOLD LEVEL”     calc hltmp=1    else     calc heqmp=miss      & hgtmp=miss      & hltmp=miss   endif      calc elem(hEQmp;k)=heqmp       & elem(hGTmp;k)=hgtmp       & elem(hLTmp;k)=hltmp  endfor   for X=eqAG,gtAG,ltAG,eqCT,gtCT,ltCT,eqCV,gtCV,ltCV,eqGY,gtGY,ltGY,\  eqK,gtK,ltK,eqMZ,gtMZ,ltMZ,eqBK,gtBK,ltBK,eqKB,gtKB,ltKB;\ Y=AGeq,AGgt,AGlt,CTeq,CTgt,CTlt,CVeq,CVgt,CVlt,GYeq,GYgt,GYlt,\  Keq,Kgt,Klt,MZeq,MZgt,MZlt,BKeq,BKgt,BKlt,KBeq,KBgt,KBlt;\ Z=AGEQ,AGGT,AGLT,CTEQ,CTGT,CTLT,CVEQ,CVGT,CVLT,GYEQ,GYGT,GYLT,\  KEQ,KGT,KLT,MZEQ,MZGT,MZLT,BKEQ,BKGT,BKLT,KBEQ,KBGT,KBLT     calc Y=sum(X)      if Y.eq.3       calc Y=1      else       calc Y=0      endif     calc Z=Z+Y   endfor  print [ch=3;iprint=*;squash=y]AGeq,AGgt,AGlt,CTeq,CTgt,CTlt,CVeq,CVgt,CVlt,GYeq, GYgt,GYlt,\  Keq,Kgt,Klt,MZeq,MZgt,MZlt,BKeq,BKgt,BKlt,KBeq,KBgt,KBlt;fieldwidth=8; dec=0 endfor stop

GenStat Programme 9˜Dominance Permutation Programme

job ‘Dominance Permutation Programme’ scalar AG1M,AG1,AG2M,AG2,AG3M,AG3,CT1M,CT1,CT2M,CT2,CT3M,CT3,\  CV1M,CV1,CV2M,CV2,CV3M,CV3,GY1M,GY1,GY2M,GY2,GY3M,GY3,K1M,\  K1,K2M,K2,K3M,K3,MZ1M,MZ1,MZ2M,MZ2,MZ3M,MZ3,BK1M,BK1,BK2M,\  BK2,BK3M,BK3,KB1M,KB1,KB2M,KB2,KB3M,KB3 “genotypes names/bins for calculations” scalar [value=48]a “starting value for equate directive”  & [value=12345]seed “seed value for randomisation”  & [value=0]AGEQ,AGGT,AGLT,CTEQ,CTGT,CTLT,CVEQ,CVGT,CVLT,GYEQ,GYGT,GYLT,\   KEQ,KGT,KLT,MZEQ,MZGT,MZLT,BKEQ,BKGT,BKLT,KBEQ,KBGT,KBLT  “scalars for total signifiant genes” variate [nvalues=48]gene  & [nvalues=22810]AG,CT,CV,GY,K,MZ,BK,KB  & [nvalues=3]eqAG,gtAG,ltAG,eqCT,gtCT,ltCT,eqCV,gtCV,ltCV,eqGY,gtGY,ltGY,\   eqK,gtK,ltK,eqMZ,gtMZ,ltMZ,eqBK,gtBK,ltBK,eqKB,gtKB,ltKB output [width=400]1 “      OPEN OUTPUT FILE ” open ‘x:\\daves\\Dominance method\\domperm.out’;ch=3;width=300;filetype=o “OUTPUT FILE” open ‘x:\\daves\\Dominance method\\Expression datab.txt’;ch=2;width=500 “INPUT FILE” read [ch=2;print=e,s;serial=n]EXP close ch=2 for [ntimes=1000] “NUMBER OF PERMUTATIONS”  calc seed=seed+1  for [ntimes=22810]    “NUMBER OF GENES” “*********************************************************************** ***********”   calc a=a−48    equate [oldformat=!(a,48)]EXP;gene “puts data in one variate per gene”   “randomises variate for subsequent calculations”   calc y=urand(seed;48)    & nege=sort(gene;y)  “places data for 1 gene at a time into variate bins”   for geno=AG1M,AG1,AG2M,AG2,AG3M,AG3,CT1M,CT1,CT2M,CT2,CT3M,CT3,CV1M,CV1,CV2M ,CV2,CV3M,CV3,\   GY1M,GY1,GY2M,GY2,GY3M,GY3,K1M,K1,K2M,K2,K3M,K3,MZ1M,MZ1,MZ2M,MZ2, MZ3M,MZ3,BK1M,BK1,\    BK2M,BK2,BK3M,BK3,KB1M,KB1,KB2M,KB2,KB3M,KB3;\    j=1...48    calc geno=elem(nege;j)   endfor “*********************************************************************** ********”  “calculation of ratios”   for genom=AG1M,AG2M,AG3M,CT1M,CT2M,CT3M,CV1M,CV2M,CV3M,GY1M,GY2M,GY3M,K1M,\    K2M,K3M,MZ1M,MZ2M,MZ3M,BK1M,BK2M,BK3M,KB1M,KB2M,KB3M;\    genoh=AG1,AG2,AG3,CT1,CT2,CT3,CV1,CV2,CV3,GY1,GY2,GY3,\    K1,K2,K3,MZ1,MZ2,MZ3,BK1,BK2,BK3,KB1,KB2,KB3;\ ratio=rAG1,rAG2,rAG3,rCT1,rCT2,rCT3,rCV1,rCV2,rCV3,rGY1,rGY2,rGY3,\  rK1,rK2,rK3,rMZ1,rMZ2,rMZ3,rBK1,rBK2,rBK3,rKB1,rKB2,rKB3;\ hEQmp=eqAG,eqAG,eqAG,eqCT,eqCT,eqCT,eqCV,eqCV,eqCV,eqGY,eqGY,eqGY,\  eqK,eqK,eqK,eqMZ,eqMZ,eqMZ,eqBK,eqBK,eqBK,eqKB,eqKB,eqKB;\ hGTmp=gtAG,gtAG,gtAG,gtCT,gtCT,gtCT,gtCV,gtCV,gtCV,gtGY,gtGY,gtGY,\  gtK,gtK,gtK,gtMZ,gtMZ,gtMZ,gtBK,gtBK,gtBK,gtKB,gtKB,gtKB;\ hLTmp=ltAG,ltAG,ltAG,ltCT,ltCT,ltCT,ltCV,ltCV,ltCV,ltGY,ltGY,ltGY,\  ltK,ltK,ltK,ltMZ,ltMZ,ltMZ,ltBK,ltBK,ltBK,ltKB,ltKB,ltKB;\    k=1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3     calc ratio=genoh/genom “calculates ratios”      calc heqmp=0       & hgtmp=0 “sets default flag values”       & hltmp=0    if (ratio.le.2.0).and.(ratio.ge.0.5) “SETS FOLD LEVEL”      calc heqmp=1     elsif (ratio.gt.2.0) “SETS UPPER FOLD LEVEL”      calc hgtmp=1     elsif (ratio.lt.0.5) “SETS LOWER FOLD LEVEL”      calc hltmp=1     else      calc heqmp=0       & hgtmp=0       & hltmp=0    endif      calc elem(hEQmp;k)=heqmp       & elem(hGTmp;k)=hgtmp       & elem(hLTmp;k)=hltmp   endfor    for X=eqAG,gtAG,ltAG,eqCT,gtCT,ltCT,eqCV,gtCV,ltCV,eqGY,gtGY,ltGY,\  eqK,gtK,ltK,eqMZ,gtMZ,ltMZ,eqBK,gtBK,ltBK,eqKB,gtKB,ltKB;\ Y=AGeq,AGgt,AGlt,CTeq,CTgt,CTlt,CVeq,CVgt,CVlt,GYeq,GYgt,GYlt,\  Keq,Kgt,Klt,MZeq,MZgt,MZlt,BKeq,BKgt,BKlt,KBeq,KBgt,KBlt;\ Z=AGEQ,AGGT,AGLT,CTEQ,CTGT,CTLT,CVEQ,CVGT,CVLT,GYEQ,GYGT,GYLT,\  KEQ,KGT,KLT,MZEQ,MZGT,MZLT,BKEQ,BKGT,BKLT,KBEQ,KBGT,KBLT      calc Y=sum(X)       if Y.eq.3        calc Y=1       else        calc Y=0       endif      calc Z=Z+Y    endfor  endfor  print [ch=3;iprint=*;squash=y]AGEQ,AGGT,AGLT,CTEQ,CTGT,CTLT,CVEQ,CVGT,CVLT,GYEQ ,GYGT,GYLT,\  KEQ,KGT,KLT,MZEQ,MZGT,MZLT,BKEQ,BKGT,BKLT,KBEQ,KBGT,KBLT;fieldwidth =8; dec=0  for list=AGEQ,AGGT,AGLT,CTEQ,CTGT,CTLT,CVEQ,CVGT,CVLT,GYEQ,GYGT,GYLT,\   KEQ,KGT,KLT,MZEQ,MZGT,MZLT,BKEQ,BKGT,BKLT,KBEQ,KBGT,KBLT    calc list=0  endfor endfor stop

GenStat Programme 10˜Transcriptome Remodelling Bootstrap Programme

job ‘Transcriptome Remodelling Bootstrap Programme’ output [width=132]1 variate [nvalues=22810]sec1,sec2,sec3,sec4,sec5,sec6,sec7,sec8,sec9,\  DK22,DKLD,DKSD,DB22,DBLD,DBSD,DBH22,DBHLD,DBHSD,DKH22,DKHLD,DKHSD, \  HBK22,HBKLD,HBKSD,KBH22,KBHLD,KBHSD,D_K22,D_KLD,D_KSD,H22,HLD,HSD, \  BDK22,BDKLD,BDKSD,HB22,HBLD,HBSD,HK22,HKLD,HKSD,B_K22,B_KLD,B_KSD, \  r22kb,rldkb,rsdkb,r22bk,rldbk,rsdbk,KHB22,KHBLD,KHBSD,BHK22,BHKLD, BHKSD,\  KDB22,KDBLD,KDBSD,BDK22,BDKLD,BDKSD,H22h,HLDh,HSDh,H22l,HLDl,HSDl, A,B,C,\  b_k22,b_kLD,b_kSD,K_H22h,K_HLDh,K_HSDh,B_H22h,B_HLDh,B_HSDh,\  HB22l,HBLDl,HBSDl,HB22h,HBLDh,HBSDh,\  HK22l,HKLDl,HKSDl,HK22h,HKLDh,HKSDh  “FILE IDENTIFIERS-IGNORE” variate [values=1...22810]gene “*********************************  READ BASIC EXPRESSION DATA ******************************” open ‘x:\\daves\\reciprocals\\hb 22k.txt’;ch=2 “INPUT FILE” read [ch=2;print=e,s;serial=n]h22,hld,hsd,k22,kld,ksd,b22,bld,bsd close ch=2 “       INITIAL SEED FOR RANDOM NUMBER GENERATION  ” scalar int,x,y scalar [value=54321]a   & [value=78656]b   & [value=17345]c output [width=132]1 “         OPEN OUTPUT FILE  ”   open ‘x:\\daves\\reciprocals\\hb 22k.out’;ch=3;width=132;filetype=o “OUTPUT FILE”   scalar [value=17589]a   scalar [value=*]miss   scalar [value=1]int    “START OF LOOP FOR BOOTSTRAPPING”   for [ntimes=1000] “NUMBER OF RANDOMISATIONS”   “   RANDOMISES ALL NINE VARIATES    ”   for i=b22,h22,k22,bld,hld,hsd,bsd,kld,ksd;\ j=b22,h22,k22,bld,hld,hsd,bsd,kld,ksd   calc a=a+1   calc xx=urand(a;22810)“NUMBER OF GENES”   calc j=sort(i;xx)   endfor “   CALCULATES COMPARISONS FOR THREEOFOLD DIFFERENCES    ” “*************************************   ratio of K : B *****************************” calc r22kb=k22/b22   & rldkb=kld/bld   & rsdkb=ksd/bsd “*************************************   ratio of B : K *****************************”   & r22bk=b22/k22   & rldbk=bld/kld   & rsdbk=bsd/ksd “*************************************   ratio of H : K *****************************”   & r22hk=h22/k22   & rldhk=hld/kld   & rsdhk=hsd/ksd “*************************************   ratio of H : B *****************************”   & r22hb=h22/b22   & rldhb=hld/bld   & rsdhb=hsd/bsd for k=1...22810 “*************************************   B = H (within 2) *****************************”  for i=r22hb,rldhb,rsdhb;j=A,B,C;m=b22,bld,bsd;n=h22,hld,hsd;o=HB22l,HBLDl,HBSDl; p=HB22h,HBLDh,HBSDh   if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2))“SETS FOLD LEVELS”    calc elem(j;k)=int     else    calc elem(j;k)=miss   endif    calc x=elem(m;k)     & y=elem(n;k) “   LOWEST VALUE OF B OR H      ”   if (y.gt.x).and.(elem(j;k).eq.1)     calc elem(o;k)=x    elsif (x.gt.y).and.(elem(j;k).eq.1)     calc elem(o;k)=y    else     calc elem(o;k)=miss   endif “   HIGHEST VALUE OF B OR H      ”   if (x.gt.y).and.(elem(j;k).eq.1)     calc elem(p;k)=x    elsif (y.gt.x).and.(elem(j;k).eq.1)     calc elem(p;k)=y    else     calc elem(p;k)=miss   endif  endfor “*************************************   K = H (within 2) *****************************”   for i=r22hk,rldhk,rsdhk;j=A,B,C;m=k22,kld,ksd;n=h22,hld,hsd,o=HK22l,HKLDl,HKSDl; p=HK22h,HKLDh,HKSDh   if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2))    calc elem(j;k)=int     else    calc elem(j;k)=miss   endif    calc x=elem(m;k)     & y=elem(n;k) “   LOWEST VALUE OF K OR H      ”   if (x.lt.y).and.(elem(j;k).eq.1)     calc elem(o;k)=x    elsif (y.lt.x).and.(elem(j;k).eq.1)     calc elem(o;k)=y    else     calc elem(o;k)=miss   endif “   HIGHEST VALUE OF K OR H      ”   if (x.gt.y).and.(elem(j;k).eq.1)     calc elem(p;k)=x    elsif (y.gt.x).and.(elem(j;k).eq.1)     calc elem(p;k)=y    else     calc elem(p;k)=miss   endif  endfor “*************************************   K = B (within 2) *****************************”  for i=r22kb,rldkb,rsdkb;j=A,B,C;m=k22,kld,ksd;n=b22,bld,bsd   if ((elem(i;k).gt.0.5).and.(elem(i;k).lt.2))    calc elem(j;k)=int     else    calc elem(j;k)=miss   endif  endfor “*************************************   K = B (highest & lowest values) *************************”  for i=r22kb,rldkb,rsdkb;j=A,B,C;m=k22,kld,ksd;n=b22,bld,bsd;o=B_K22,B_KLD,B_(—KSD;) p=b_k22,b_kLD,b_kSD    calc x=elem(m;k)     & y=elem(n;k)   if (x.gt.y)     calc elem(o;k)=x    else     calc elem(o;k)=y   endif   if (x.lt.y)     calc elem(p;k)=x    else     calc elem(p;k)=y   endif  endfor endfor “*************************************   ratio of H : (K = B) high values  **************” calc H22h=h22/B_K22   & HLDh=hld/B_KLD   & HSDh=hsd/B_KSD “*************************************   ratio of H : (K = B) low values  ***************” calc H22l=h22/b_k22   & HLDl=hld/b_kLD   & HSDl=hsd/b_kSD “*************************************   ratio of K : (B = H) ****************************” calc KDB22=k22/HB22h   & KDBLD=kld/HBLDh   & KDBSD=ksd/HBSDh “*************************************   ratio of B : (K = H) ****************************” calc BDK22=b22/HK22h   & BDKLD=bld/HKLDh   & BDKSD=bsd/HKSDh “*************************************   ratio of (K = H − low values) : B   ************” calc KHB22=HK22l/b22   & KHBLD=HKLDl/bld   & KHBSD=HKSDl/bsd “*************************************   ratio of (B = H) : K ****************************” calc BHK22=HB22l/k22   & BHKLD=HBLDl/kld   & BHKSD=HBSDl/ksd “*********************************************************************** ****************” for k=1...22810 “***********************    SEC 1 ---- K>BR-0  ********************************”  if (elem(r22kb;k).gt.2).and.(elem(rldkb;k).gt.2).and.(elem(rsdkb;k).gt.2)   calc elem(sec1;k)=int    else   calc elem(sec1;k)=miss  endif “***********************    SEC 2 ---- BR-0>K  *********************************”  if (elem(r22bk;k).gt.2).and.(elem(rldbk;k).gt.2).and.(elem(rsdbk;k).gt.2)   calc elem(sec2;k)=int    else   calc elem(sec2;k)=miss  endif “***********************    SEC 3 ---- K AND H > B (BUT K = H)  ******************”  if (elem(KHB22;k).gt.2).and.(elem(KHBLD;k).gt.2).and.(elem(KHBSD;k).gt.2)   calc elem(sec3;k)=int    else   calc elem(sec3;k)=miss  endif “***********************    SEC 4 ---- B AND H > K (BUT B = H)  *******************”  if (elem(BHK22;k).gt.2).and.(elem(BHKLD;k).gt.2).and.(elem(BHKSD;k).gt.2)   calc elem(sec4;k)=int    else   calc elem(sec4;k)=miss  endif “***********************    SEC 5 ---- K > B and H (BUT B = H)  *********************”  if (elem(KDB22;k).gt.2).and.(elem(KDBLD;k).gt.2).and.(elem(KDBSD;k).gt.2)   calc elem(sec5;k)=int    else   calc elem(sec5;k)=miss  endif “***********************    SEC 6 ---- B > K and H (BUT K = H)  ************************”  if (elem(BDK22;k).gt.2).and.(elem(BDKLD;k).gt.2).and.(elem(BDKSD.k).gt.2)   calc elem(sec6;k)=int    else   calc elem(sec6;k)=miss  endif “***********************    SEC 7 ---- H > B and K  *********************************”  if (elem(H22h;k).gt.2).and.(elem(HLDh;k).gt.2).and.(elem(HSDh;k).gt.2)   calc elem(sec7;k)=int    else   calc elem(sec7;k)=miss  endif “***********************    SEC 8 ---- H < B and K  ************************************”  if (elem(H22l;k).lt.0.5).and.(elem(HLDl;k).lt.0.5).and.(elem(HSDl;k).lt.0.5)   calc elem(sec8;k)=int    else   calc elem(sec8;k)=miss  endif endfor “*********************************************************************** ******************************” “print gene,sec1,sec2,sec3,sec4,sec5,sec6,sec7,sec8” for i=sec1,sec2,sec3,sec4,sec5,sec6,sec7,sec8;\  j=No1.No2,No3,No4,No5,No6,No7,No8;\  k=N1,N2,N3,N4,N5,N6,N7,N8;\  l=mv1,mv2,mv3,mv4,mv5,mv6,mv7,mv8   calc k=nvalues (i)    & l=nmv(i)    & j=k−l endfor print No1,No2,No3,No4,No5,No6,No7,No8 endfor stop

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1. A method of predicting the magnitude of a trait in a plant or animal; comprising determining transcript abundances of a gene or a set of genes in the plant or animal, wherein transcript abundances of the gene or set of genes in the plant or animal transcriptome correlate with the trait; and thereby predicting the trait in the plant or animal.
 2. A method according to claim 1, comprising earlier steps of analysing the transcriptome of a population of plants or animals; measuring the trait in plants or animals in the population; and identifying a correlation between transcript abundances of a gene or set of genes in the plant or animal transcriptomes and the trait in the plants or animals.
 3. A method according to claim 1, wherein the plant or animal is a hybrid.
 4. A method according to claim 3, wherein the trait is heterosis.
 5. A method according to claim 4, wherein the heterosis is heterosis for yield.
 6. A method according to claim 1, wherein the plant or animal is inbred or recombinant.
 7. A method according to claim 4, wherein the method is for predicting the magnitude of heterosis and the gene or set of genes comprises At1g67500 or At5g45500 or orthologues thereof and/or a gene or set of genes selected from the genes shown in Table 1 or Table 19, or orthologues thereof. 8-12. (canceled)
 13. A method according to claim 1, comprising determining transcript abundance of a gene or set of genes in the plant or animal wherein the trait is not yet determinable from the phenotype of the plant or animal. 14-15. (canceled)
 16. A method according to claim 1, wherein the method is for predicting a trait in a plant and wherein the plant a crop plant.
 17. A method according to claim 16, wherein the crop plant is maize.
 18. A method comprising increasing the magnitude of heterosis in a hybrid, by: (i) upregulating expression in the hybrid of a gene or set of genes whose transcript abundance in hybrids correlates positively with the magnitude of heterosis, wherein the gene or set of genes comprises a gene or set of genes selected from the positively correlating genes shown in Table 1 and/or Table 19A, or orthologues thereof; and/or (ii) downregulating expression in the hybrid of a gene or set of genes whose transcript abundance in hybrids correlates negatively with the magnitude of heterosis, wherein the gene or set of genes comprises a gene or set of genes selected from At1g67500, At5g45500 and/or the negatively correlating genes shown in Table 1 and/or Table 19B, or orthologues thereof. 19-21. (canceled)
 22. A method of increasing a trait in a plant, by: (i) upregulating expression in the plant of a gene or set of genes whose transcript abundance in plants correlates positively with the trait, wherein: the trait is flowering time and wherein the gene or set of genes comprises a gene or set of genes selected from the genes listed in Table 3A or Table 4A, or orthologues thereof; the trait is seed oil content and wherein the gene or set of genes comprises a gene or set of genes selected from the genes listed in Table 6A, or orthologues thereof; the trait is ratio of 18:2/18:1 fatty acids in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes listed in Table 7A, or orthologues thereof; the trait is ratio of 18:3/18:1 fatty acids in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 8A, or orthologues thereof; the trait is ratio of 18:3/18:2 fatty acids in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 9A, or orthologues thereof; the trait is ratio of 20C+22C/16C+18C fatty acids in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 10A, or orthologues thereof; the trait is ratio of polyunsaturated/monounsaturated+saturated 18C fatty acids in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 12A, or orthologues thereof; the trait is % 16:0 fatty acid in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 14A, or orthologues thereof; the trait is % 18:1 fatty acid in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 15A, or orthologues thereof; the trait is % 18:2 fatty acid in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 16A, or orthologues thereof; the trait is % 18:3 fatty acid in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 17A, or orthologues thereof; or the trait is yield, and wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 20A, or orthologues thereof; or (ii) upregulating expression in the plant of a gene or set of genes whose transcript abundance in plants correlates positively with the trait, wherein: the trait is flowering time and wherein the gene or set of genes comprises a gene or set of genes selected from the genes listed in Table 3B or Table 4B, or orthologues thereof; the trait is seed oil content and wherein the gene or set of genes comprises a gene or set of genes selected from the genes listed in Table 6B, or orthologues thereof; the trait is ratio of 18:2/18:1 fatty acids in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes listed in Table 7B, or orthologues thereof; the trait is ratio of 18:3/18:1 fatty acids in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the shown in Table 8B, or orthologues thereof; the trait is ratio of 18:3/18:2 fatty acids in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 9B, or orthologues thereof; the trait is ratio of 20C+22C/16C+18C fatty acids in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 10B, or orthologues thereof; the trait is ratio of polyunsaturated/monounsaturated+saturated 18C fatty acids in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 12B, or orthologues thereof; the trait is % 16:0 fatty acid in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 14B, or orthologues thereof; the trait is % 18:1 fatty acid in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 15B, or orthologues thereof; the trait is % 18:2 fatty acid in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 16B, or orthologues thereof; the trait is % 18:3 fatty acid in seed oil, wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 17B, or orthologues thereof; or the trait is yield, and wherein the gene or set of genes comprises a gene or set of genes selected from the genes shown in Table 20B, or orthologues thereof.
 23. (canceled)
 24. A method of predicting a trait in a hybrid, wherein the hybrid is a cross between a first plant or animal and a second plant or animal; comprising determining the transcript abundance of a gene or set of genes in the second plant or animal, wherein transcript abundance of the gene or the genes in the set of genes correlates with the trait in a population of hybrids produced by crossing the first plant or animal with different plants or animals; and thereby predicting the trait in the hybrid.
 25. A method according to claim 24, comprising earlier steps of: analysing transcriptomes of plants or animals in a population of plants or animals; determining a trait in a population of hybrids, wherein each hybrid in the population is a cross between a first plant or animal and a plant or animal selected from the population of plants or animals; and identifying a correlation between transcript abundance of a gene or set of genes in the population of plants or animals and the trait in the population of hybrids.
 26. A method according to claim 24, wherein the hybrid is a maize hybrid cross between a first maize plant and a second maize plant. 27-31. (canceled)
 32. A method comprising: determining the transcript abundance of a gene or set of genes in plants or animals, wherein the transcript abundances of the gene or the genes in the set of genes in plants or animals correlate with a trait in hybrid crosses between a first plant or animal and other plants or animals; selecting one of the plants or animals on the basis of said correlation; and selecting a hybrid that has already been produced or producing a hybrid cross between the selected plant or animal and the said first plant or animal.
 33. A method according to claim 32, wherein the plants are maize and wherein a maize hybrid cross is produced. 34-43. (canceled)
 44. A method comprising: analysing the transcriptomes of hybrids in a population of hybrids; determining heterosis or other trait of hybrids in the population; and identifying a correlation between transcript abundance of a gene or set of genes in the hybrid transcriptomes and heterosis or other trait in the hybrids.
 45. A method for determining hybrids to be grown or tested in yield or performance trials which comprises determining transcript abundance from vegetative phase plants or pre-adolescent animals.
 46. A method according to claim 45, wherein the hybrids are maize hybrids.
 47. A method which comprises analyzing the transcriptome of hybrids or inbred or recombinant plants or animals, said method comprising: (i) identifying genes involved in the manifestation of heterosis and other traits in hybrids; and, optionally, (ii) predicting and producing hybrid plants or animals of improved heterosis and other traits by selecting plants or animals for breeding, wherein the plants or animals exhibit enhanced transcriptome characteristics with respect to a selected set of genes relevant to the transcriptional regulatory networks present in potential parental breeding partners; and, optionally, (iii) predicting a range of trait characteristics for plants and animals based on transcriptome characteristics.
 48. A method according to claim 47, wherein the hybrids or inbred or recombinant plants are maize.
 49. A non-human hybrid produced using the method of claim
 47. 50. A subset of genes that retain most of the predictive power of a large set of genes the transcript abundance of which correlates well with a particular characteristic in a hybrid.
 51. The subset according to claim 50 which comprises between 10 and 70 genes for prediction of heterosis based on hybrid transcriptomes. 52-54. (canceled)
 55. A method for identifying a limited set of genes which comprises iterative testing of the precision of predictions by progressively reducing the numbers of genes in a trait predictive model, and preferentially retaining those with the best correlation of transcript abundance with the trait.
 56. A computer program which, when executed by a computer, performs the method of claim
 1. 57. (canceled)
 58. A computer system having a processor and a display, the processor being operably configured to perform the method of claim 1 and display the results of said method on said display. 